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Popular >

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

Solution

simplify

2^{2}

Solution

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

+1

Decimal Notation

1.63252 \dots

Solution steps

2^{2}

Apply radical rule:

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

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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