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Popular >

simplify sqrt(6\sqrt{6)}^{1/2}

Solution

simplify

66^{\frac{1}{2}}

Solution

6^{\frac{3}{8}}

+1

Decimal Notation

1.95797 \dots

Solution steps

(66)^{\frac{1}{2}}

66 = 6^{\frac{3}{4}}

= (6^{\frac{3}{4}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 6^{\frac{3}{4} \cdot \frac{1}{2}}

\frac{3}{4} \cdot \frac{1}{2} = \frac{3}{8}

= 6^{\frac{3}{8}}

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Frequently Asked Questions (FAQ)

What is sqrt(6\sqrt{6)}^{1/2} ?
The solution to sqrt(6\sqrt{6)}^{1/2} is 6^{3/8}