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Popular >

simplify sqrt(\sqrt{3^3)}

Solution

simplify

3^{3}

Solution

+1

Decimal Notation

2.27950 \dots

Solution steps

3^{3}

3^{3} = 33

= 33

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

33 = 33

= 33

Apply radical rule:

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

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

Apply radical rule:

= 3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}}

Apply exponent rule:

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

3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}} = 3^{\frac{1}{2} + \frac{1}{4}}

= 3^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

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

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simplify (1.013*10^5)(0.1*0.1)simplify

(1.013 \cdot 1 0^{5}) (0.1 \cdot 0.1)

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3.25 \cdot 1 0^{- 3}

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{3^3)} ?
The solution to sqrt(\sqrt{3^3)} is \sqrt[4]{3^3}