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Popular >

simplify 3sqrt(-72)

Solution

simplify

3 - 72

Solution

182 i

Solution steps

3 - 72

Prime factorization of

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

= 3 - 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}

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

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

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

Apply radical rule:

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

2^{2} = 2

= 3 \cdot 22 - 3^{2}

3^{2} = 9

= 3 \cdot 22 - 9

Multiply the numbers:

3 \cdot 2 = 6

= 62 - 9

- 9 = 3 i

= 62 \cdot 3 i

Multiply the numbers:

6 \cdot 3 = 18

= 182 i

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Frequently Asked Questions (FAQ)

What is 3sqrt(-72) ?
The solution to 3sqrt(-72) is 18sqrt(2)i