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Popular >

simplify sqrt(\sqrt{64/16)}

Solution

simplify

\frac{64}{16}

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

\frac{64}{16}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((\frac{64}{16})^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (\frac{64}{16})^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (\frac{64}{16})^{\frac{1}{4}}

Divide the numbers:

\frac{64}{16} = 4

Factor the number:

4 = 2^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{64/16)} ?
The solution to sqrt(\sqrt{64/16)} is square root of 2