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Popular >

simplify 3sqrt(27)

Solution

simplify

327

Solution

93

+1

Decimal Notation

15.58845 \dots

Solution steps

327

Prime factorization of

27 : 3^{3}

= 3 3^{3}

Apply exponent rule:

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

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

= 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 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 3 \cdot 33

Multiply the numbers:

3 \cdot 3 = 9

= 93

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Frequently Asked Questions (FAQ)

What is 3sqrt(27) ?
The solution to 3sqrt(27) is 9sqrt(3)