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Popular >

simplify 2sqrt(-72)

Solution

simplify

2 - 72

Solution

122 i

Solution steps

2 - 72

Prime factorization of

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 22 - 3^{2}

3^{2} = 9

= 2 \cdot 22 - 9

Multiply the numbers:

2 \cdot 2 = 4

= 42 - 9

- 9 = 3 i

= 42 \cdot 3 i

Multiply the numbers:

4 \cdot 3 = 12

= 122 i

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Frequently Asked Questions (FAQ)

What is 2sqrt(-72) ?
The solution to 2sqrt(-72) is 12sqrt(2)i