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Popular >

simplify sqrt(2^2+8^2)

Solution

simplify

2^{2} + 8^{2}

Solution

217

+1

Decimal Notation

8.24621 \dots

Solution steps

2^{2} + 8^{2}

2^{2} + 8^{2} = 68

= 68

Prime factorization of

68 : 2^{2} \cdot 17

= 2^{2} \cdot 17

Apply radical rule:

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

2^{2} \cdot 17 = 2^{2} 17

= 2^{2} 17

Apply radical rule:

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

2^{2} = 2

= 217

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Frequently Asked Questions (FAQ)

What is sqrt(2^2+8^2) ?
The solution to sqrt(2^2+8^2) is 2sqrt(17)