What is \sqrt[60]{60^{30}} ?

The solution to \sqrt[60]{60^{30}} is 2sqrt(15)

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simplify \sqrt[60]{60^{30}}

simplify

215

Solution steps

Apply radical rule:

= (6 0^{30})^{\frac{1}{60}}

Apply exponent rule:

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

= 6 0^{30 \cdot \frac{1}{60}}

30 \cdot \frac{1}{60} = \frac{1}{2}

= 6 0^{\frac{1}{2}}

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

= 60

Prime factorization of

60 : 2^{2} \cdot 3 \cdot 5

= 2^{2} \cdot 3 \cdot 5

Apply radical rule:

= 2^{2} 3 \cdot 5

Apply radical rule:

2^{2} = 2

= 2 3 \cdot 5

Refine

= 215

\frac{0 ^{+}}{0 ^{+}}

(4 x^{2}) \cdot (3 x^{5})

2.594 x 1 0^{- 4}

- 10 x^{2} y^{2} (9 x)

3.04 \cdot 1 0^{- 3}