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Popular >

simplify sqrt(9^2+9^2)

Solution

simplify

9^{2} + 9^{2}

Solution

92

+1

Solution steps

9^{2} + 9^{2}

9^{2} + 9^{2} = 162

= 162

Prime factorization of

162 : 2 \cdot 3^{4}

= 2 \cdot 3^{4}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2 \cdot 3^{4} = 2 3^{4}

= 2 3^{4}

3^{4} = 9

= 2 \cdot 9

= 92

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Frequently Asked Questions (FAQ)

What is sqrt(9^2+9^2) ?
The solution to sqrt(9^2+9^2) is 9sqrt(2)