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Popular >

simplify sqrt(10^2+15^2)

Solution

simplify

1 0^{2} + 1 5^{2}

Solution

513

+1

Decimal Notation

18.02775 \dots

Solution steps

1 0^{2} + 1 5^{2}

1 0^{2} + 1 5^{2} = 325

= 325

Prime factorization of

325 : 5^{2} \cdot 13

= 5^{2} \cdot 13

Apply radical rule:

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

5^{2} \cdot 13 = 5^{2} 13

= 5^{2} 13

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 513

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Frequently Asked Questions (FAQ)

What is sqrt(10^2+15^2) ?
The solution to sqrt(10^2+15^2) is 5sqrt(13)