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Popular >

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

Solution

simplify

(4)^{2} + (4)^{2}

Solution

42

+1

Decimal Notation

5.65685 \dots

Solution steps

4^{2} + 4^{2}

4^{2} + 4^{2} = 32

= 32

Prime factorization of

32 : 2^{5}

= 2^{5}

Apply exponent rule:

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

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

= 2^{4} \cdot 2

Apply radical rule:

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

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

= 2^{4} 2

2^{4} = 4

= 42

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Frequently Asked Questions (FAQ)

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