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Popular >

simplify sqrt(3^2+4^2+5^2)

Solution

simplify

3^{2} + 4^{2} + 5^{2}

Solution

52

+1

Decimal Notation

7.07106 \dots

Solution steps

3^{2} + 4^{2} + 5^{2}

3^{2} + 4^{2} + 5^{2} = 50

= 50

Prime factorization of

50 : 2 \cdot 5^{2}

= 2 \cdot 5^{2}

Apply radical rule:

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

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

= 2 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5

= 52

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Frequently Asked Questions (FAQ)

What is sqrt(3^2+4^2+5^2) ?
The solution to sqrt(3^2+4^2+5^2) is 5sqrt(2)