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Popular >

simplify sqrt(10^2-5^2)

Solution

simplify

1 0^{2} - 5^{2}

Solution

53

+1

Decimal Notation

8.66025 \dots

Solution steps

1 0^{2} - 5^{2}

1 0^{2} - 5^{2} = 75

= 75

Prime factorization of

75 : 3 \cdot 5^{2}

= 3 \cdot 5^{2}

Apply radical rule:

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

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

= 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 3 \cdot 5

= 53

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Frequently Asked Questions (FAQ)

What is sqrt(10^2-5^2) ?
The solution to sqrt(10^2-5^2) is 5sqrt(3)