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Popular >

simplify sqrt(-6^2)

Solution

simplify

- 6^{2}

Solution

6 i

Solution steps

- 6^{2}

6^{2} = 36

= - 36

Prime factorization of

36 : 2^{2} \cdot 3^{2}

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 - 3^{2}

3^{2} = 9

= 2 - 9

Apply radical rule:

- a = a - 1

- 9 = 9 - 1

= 29 - 1

Apply imaginary number rule:

- 1 = i

= 29 i

9 = 3

= 2 \cdot 3 i

Multiply the numbers:

2 \cdot 3 = 6

= 6 i

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Frequently Asked Questions (FAQ)

What is sqrt(-6^2) ?
The solution to sqrt(-6^2) is 6i