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Popular >

simplify 9sqrt(72)

Solution

simplify

972

Solution

542

+1

Solution steps

972

Prime factorization of

72 : 2^{3} \cdot 3^{2}

= 9 2^{3} \cdot 3^{2}

Apply exponent rule:

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

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

= 9 2^{2} \cdot 2 \cdot 3^{2}

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

= 9 2^{2} 2 3^{2}

Apply radical rule:

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

2^{2} = 2

= 9 \cdot 22 3^{2}

Apply radical rule:

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

3^{2} = 3

= 9 \cdot 22 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 9 \cdot 62

Multiply the numbers:

9 \cdot 6 = 54

= 542

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Frequently Asked Questions (FAQ)

What is 9sqrt(72) ?
The solution to 9sqrt(72) is 54sqrt(2)