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Popular >

simplify \sqrt[4]{48^3}

Solution

simplify

Solution

8 \cdot 3^{\frac{3}{4}}

+1

Decimal Notation

18.23605 \dots

Solution steps

Apply radical rule:

= (4 8^{3})^{\frac{1}{4}}

Apply exponent rule:

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

= 4 8^{3 \cdot \frac{1}{4}}

3 \cdot \frac{1}{4} = \frac{3}{4}

= 4 8^{\frac{3}{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{3} \cdot 3^{\frac{3}{4}}

2^{3} = 8

= 8 \cdot 3^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{48^3} ?
The solution to \sqrt[4]{48^3} is 8*3^{3/4}