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Popular >

simplify sqrt(5^2+10^2)

Solution

simplify

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

Solution

55

+1

Decimal Notation

11.18033 \dots

Solution steps

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

5^{2} + 1 0^{2} = 125

= 125

Prime factorization of

125 : 5^{3}

= 5^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

5^{3} = 5^{2} \cdot 5

= 5^{2} \cdot 5

Apply radical rule:

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

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

= 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 55

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Frequently Asked Questions (FAQ)

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