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Popular >

simplify sqrt(12^2+8^2)

Solution

simplify

1 2^{2} + 8^{2}

Solution

413

+1

Decimal Notation

14.42220 \dots

Solution steps

1 2^{2} + 8^{2}

1 2^{2} + 8^{2} = 208

= 208

Prime factorization of

208 : 2^{4} \cdot 13

= 2^{4} \cdot 13

Apply radical rule:

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

2^{4} \cdot 13 = 2^{4} 13

= 2^{4} 13

2^{4} = 4

= 413

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Frequently Asked Questions (FAQ)

What is sqrt(12^2+8^2) ?
The solution to sqrt(12^2+8^2) is 4sqrt(13)