The square root of three hundred and sixty-one √361 = 19. USING OUR SERVICES YOU AGREE TO OUR USE OF. #5# : No: The last digit of #361# is not #0# or #5#. The table was often a large slab of timber, hewn out with a broad- … The only square root of zero is zero. You can calculate the square root of any number , just change 361 up above in the textbox. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. find square roots 361 principal square root of 361 = square root is not real 361 the negative square root of 361 = the square root is not a real number simplify the radical find square root indentify the radicand what is the radicand? How do you simplify #sqrt(75a^12b^3c^5)#? = assume x can represent any real number. One thing to be aware of when using any calculator with square root functionality is that it will probably only give you the primary square root—that is, the positive square root. In fact you can multiply two odd or two even numbers using squares, adding, subtracting and halving as follows: 32825 views 8 years ago. Answer: (b)9 (c)n^2 (d)2 (e)3. $$361 = 19^2$$, so $$sqrt(361) = 19$$. For example, 4 has two square roots: 2 and -2. How do you write # ""^9sqrt(y^3)# as a rational exponent? Subtract half that percentage from the approximation: For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 ^ 3 = 9 and 3 is non-negative. For example, the square root of 144 is 12, because 12 times 12 equals 144. The square root of 361 is a quantity (q) that when multiplied by itself will equal 361. 19 squared is 361 but the square root of 19 is an irrational number and it is about 4.359 rounded to 3 decimal places Approximation by integers Hey! The square root of a number is equal to the number of the square roots of each factor. We need to factories the number under the root and pair them in two. Prime Factorisation #7# : No: #361 -: 7 = 51# with remainder #4#. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. The radical symbol √ is used to indicate the square root. 19 squared is 361 but the square root of 19 is an irrational number and it is about 4.359 rounded to 3 decimal places Or, √ 361 = 19 See, below on this web page, details on how to calculate this square root using the Babylonian Method Finding square root by prime factorisation is an easy method. The square root of 361 (√ 361) Given: Radicand = 361 361 is a perfect square √ 361 = 19. ##361 = 19^2## so ##sqrt(361) = 19##. Square root of a number is the value that returns the original number on multiplied by itself. Hmmm, I know some square roots already The radical symbol is also called a root symbol or surds. A number bigger than zero has two square roots: one is positive (bigger than zero) and the other is negative (smaller than zero). Source(s): https://shrink.im/a8n5j. on your calculator, press the sqrt button followed by 361. which should yield the result: 19. or you could simply do 361^0.5 which means the same thing, and is 19. For example, √16 = 4. Therefore, every number actually has two square roots. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. = what is the index of expression? Discover if three hundred and sixty-one is a perfect square … For example, 2 is the square root of 4, because 2x2=4. I know that already: #361 = 19^2#. We call this the square root of 361 in radical form. Knowing a few squares is useful for all sorts of mental calculation, so I would recommend memorising them a bit. How do you simplify radical expressions with fractions? What is the square root of 361 by the long division method? Of course, -12 times -12 is also 144. See explanation for a few methods… Prime Factorisation One of the best ways to attempt to find the square root of a whole number is to factor it into primes and identify pairs of identical factors. How do you simplify radical expressions with variables? √ 361 = q × q = q 2 That means you can simplify the square root of 361 without the radical as follows: 19 Furthermore, you may also be interested to know that the square root of 361 can be written with an Exponent like this: 361 ½ Simplify Square Root Calculator Also tells you if the entered number is a perfect square. All radicals are now simplified. I know #36 = 6^2# and #sqrt(10) ~~ 3.162#, so: #sqrt(361) ~~ sqrt(360) = sqrt(36) * sqrt(10) ~~ 6 * 3.162 ~~ 19#, Memorise Simplify square root of 361 in radical form? #20 - 5#% #= 19#. The square root of a number is defined as the value, which gives the number when it is multiplied by itself. Prime factorizing the number 361. One of the best ways to attempt to find the square root of a whole number is to factor it into primes and identify pairs of identical factors. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. The Go board has 361 positions (19 x 19). A square root of a number is a number that, when it is multiplied by itself (squared), gives the first number again. Anonymous. What is the square root for the number 361. See all questions in Simplification of Radical Expressions. Casio fx … Square Root Of 361. 2 Answers. 1, 361 Since 361 is on the list of perfect squares above, it means that 361 is a perfect square. A radical is also in simplest form when the radicand is not a fraction. The solution above and all other square root solutions were provided by the Square Root Application. In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a. #13# : No: #361 -: 13 = 27# with remainder #10#. #19# : Yes: #361 = 19*19#. Step-by-step explanation: (b)square root of 361=19. Square root of 361 definition The square root of 361 in mathematical form is written with the radical sign like this √361. The square root of 361 is 19. The radicand is the number or expression underneath the radical sign, in this example 9. Square root of 361. around the world. Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. Which best represents the square root of 361 Group of answer choices -19 and 19 -18 and 18 1 and 361 4 and 64 PLZZ will give brainlist to the first what is the square root of 392 between? Square root calculator and perfect square calculator. Explanation: Prime Factorisation One of the best ways to attempt to find the square root of a whole number is to factor … The justification for taking out the square root of any number is this theorem to help simplify √a*b = √a * √b. The radicand no longer has any square factors. How do you write # ""^4sqrt(zw)# as a rational exponent? #3# : No: The sum of the digits is not a multiple of #3#.