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Popular >

simplify sqrt(3^3)

Solution

simplify

3^{3}

Solution

33

+1

Decimal Notation

5.19615 \dots

Solution steps

3^{3}

Apply exponent rule:

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

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

= 3^{2} \cdot 3

Apply radical rule:

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

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

= 3^{2} 3

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 33

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x^{2} - 48 x + 576

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Frequently Asked Questions (FAQ)

What is sqrt(3^3) ?
The solution to sqrt(3^3) is 3sqrt(3)