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Popular >

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

Solution

simplify

3^{2}

Solution

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

+1

Decimal Notation

2.17458 \dots

Solution steps

(3)^{2}

Apply radical rule:

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

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

Apply exponent rule:

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

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

\frac{1}{2} 2 = \frac{1}{2}

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

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

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Frequently Asked Questions (FAQ)

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