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Popular >

simplify-sqrt(72)

Solution

simplify

- 72

Solution

- 62

+1

Decimal

- 8.48528 \dots

Solution steps

- 72

Prime factorization of

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

= - 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}

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

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

= - 2^{2} 2 3^{2}

Apply radical rule:

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

2^{2} = 2

= - 22 3^{2}

Apply radical rule:

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

3^{2} = 3

= - 22 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 62

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Frequently Asked Questions (FAQ)

What is simplify-sqrt(72) ?
The solution to simplify-sqrt(72) is -6sqrt(2)