What is simplify sqrt(\sqrt{123)} ?

The solution to simplify sqrt(\sqrt{123)} is \sqrt[4]{123}

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Calculate the Square Root square root of 123

simplify

123

4123

Decimal

3.33024 \dots

Solution steps

123

Apply radical rule:

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

= (12 3^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= 12 3^{\frac{1}{2} \cdot \frac{1}{2}}

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

= 12 3^{\frac{1}{4}}

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

= 4123

\frac{( 6 ! )}{( 4 ! )}

\frac{80}{360} \cdot π (12)^{2}

(- 5) - (- 1)

\frac{( 6 ! )}{( 3 ! )}

- 36/6

What is simplify sqrt(\sqrt{123)} ?
The solution to simplify sqrt(\sqrt{123)} is \sqrt[4]{123}