What Is The Square Root Of 81 9 To find the square root of 81 or sqrt81 we have two find one number that when multiplying itself equals to 81 That number is 9 9 9 81 Therefore sqrt81 9
The answer is x 9 5 You first move the 81 to the other side of the equal sign it ll become positive instead of negative 25x 2 81 We then get the square root of both sides of the equation sqrt 25x 2 sqrt81 The square roots are 25 5 xx 5 x 2 x xx x 81 9 xx 9 Applying this to our equation makes it like this 5x 9 We divide both sides by 5 5x 5 9 5 Just simplify the radicals sqrt25 5 sqrt81 9 sqrt25 sqrt81 5 9
What Is The Square Root Of 81
What Is The Square Root Of 81
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sqrt 81 16 We simplify 81 and 16 by prime factorisation expressing a number as a product of its prime factors Sqrt 81 9i The imaginary unit i satisfies i 2 1 So we find 9i 2 9 2i 2 81 1 81 So 9i is a square root of 81 Note that 9i 2 9 2 i 2 81 1 81 So 9i is also a square root of 81 What does sqrt 81 mean sqrt 81 denotes the principal square root of 81 but which is the principal one By convention and definition if n 0 then sqrt n sqrt n i So
See below Let s say we have sqrtn This is irrational if n is a prime number or has no perfect square factors When we simplify radicals we try to factor out perfect squares For example if we had sqrt 54 We know that 9 is a perfect square so we can rewrite this as sqrt9 sqrt6 3sqrt6 We know that 6 is the same as 3 2 but neither of those numbers are The square root of 49 is 7 The square root of 81 is 9 Therefore the middle number is 8
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If you have a multiplication or division inside a square root you can separate them sqrt 81 If you recognise 81 and 16 as being 4th powers the answer is easy to write down as 3 2 Otherwise write each number as the product of its prime factors
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9 To find the square root of 81 or sqrt81 we have two find one number that when multiplying itself equals to 81 That number is 9 9 9 81 Therefore sqrt81 9

https://socratic.org › questions
The answer is x 9 5 You first move the 81 to the other side of the equal sign it ll become positive instead of negative 25x 2 81 We then get the square root of both sides of the equation sqrt 25x 2 sqrt81 The square roots are 25 5 xx 5 x 2 x xx x 81 9 xx 9 Applying this to our equation makes it like this 5x 9 We divide both sides by 5 5x 5 9 5

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What Is The Square Root Of 81 - The square root of 49 is 7 The square root of 81 is 9 Therefore the middle number is 8