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Popular >

simplify sqrt(\sqrt{64)}

Solution

simplify

64

Solution

22

+1

Decimal Notation

2.82842 \dots

Solution steps

64

64 = 8

= 8

Prime factorization of

8 : 2^{3}

= 2^{3}

Apply exponent rule:

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

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

= 2^{2} \cdot 2

Apply radical rule:

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

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

= 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 22

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{64)} ?
The solution to sqrt(\sqrt{64)} is 2sqrt(2)