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Popular >

simplify sqrt(8^2+4^2)

Solution

simplify

8^{2} + 4^{2}

Solution

45

+1

Solution steps

8^{2} + 4^{2}

8^{2} + 4^{2} = 80

= 80

Prime factorization of

80 : 2^{4} \cdot 5

= 2^{4} \cdot 5

Apply radical rule:

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

2^{4} \cdot 5 = 2^{4} 5

= 2^{4} 5

2^{4} = 4

= 45

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Frequently Asked Questions (FAQ)

What is sqrt(8^2+4^2) ?
The solution to sqrt(8^2+4^2) is 4sqrt(5)