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Popular >

simplify 7sqrt(27)

Solution

simplify

727

Solution

213

+1

Decimal Notation

36.37306 \dots

Solution steps

727

Prime factorization of

27 : 3^{3}

= 7 3^{3}

Apply exponent rule:

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

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

= 7 3^{2} \cdot 3

Apply radical rule:

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

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

= 7 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 7 \cdot 33

Multiply the numbers:

7 \cdot 3 = 21

= 213

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Frequently Asked Questions (FAQ)

What is 7sqrt(27) ?
The solution to 7sqrt(27) is 21sqrt(3)