What is \sqrt[4]{(38*132)}^2 ?

The solution to \sqrt[4]{(38*132)}^2 is 2sqrt(1254)

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simplify \sqrt[4]{(38*132)}^2

simplify

21254

Decimal Notation

70.82372 \dots

Solution steps

Apply radical rule:

= (((38 \cdot 132))^{\frac{1}{4}})^{2}

Apply exponent rule:

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

= ((38 \cdot 132))^{\frac{1}{4} \cdot 2}

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

= ((38 \cdot 132))^{\frac{1}{2}}

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

= (38 \cdot 132)

Multiply the numbers:

38 \cdot 132 = 5016

= 5016

Prime factorization of

5016 : 2^{3} \cdot 3 \cdot 11 \cdot 19

= 2^{3} \cdot 3 \cdot 11 \cdot 19

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

= 2^{2} \cdot 2 \cdot 3 \cdot 11 \cdot 19

Apply radical rule:

= 2^{2} 2 \cdot 3 \cdot 11 \cdot 19

Apply radical rule:

2^{2} = 2

= 2 2 \cdot 3 \cdot 11 \cdot 19

Refine

= 21254

(5 \cdot 1 0^{8}) (4 \cdot 1 0^{7})

4^{5 \circ} 4^{2}

3.9 x 1 0^{- 2}

\frac{x}{1 + x} \cdot (1 + x) e^{- x}

e^{- 0.0272}

What is \sqrt[4]{(38*132)}^2 ?
The solution to \sqrt[4]{(38*132)}^2 is 2sqrt(1254)