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Popular >

simplify sqrt(3^{3\sqrt{2)}}

Solution

simplify

3^{32}

Solution

3^{\frac{3}{2}}

+1

Decimal Notation

10.28317 \dots

Solution steps

3^{32}

Apply radical rule:

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

= (3^{32})^{\frac{1}{2}}

Apply exponent rule:

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

= 3^{32 \frac{1}{2}}

32 \frac{1}{2} = \frac{3}{2}

= 3^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

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