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Popular >

simplify sqrt(-75)^2

Solution

simplify

- 75^{2}

Solution

- 75

Solution steps

(- 75)^{2}

- 75 = 3 \cdot 5 i

= (3 \cdot 5 i)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 \cdot 5 i)^{2} = (3)^{2} \cdot 5^{2} i^{2}

= (3)^{2} \cdot 5^{2} i^{2}

5^{2} = 25

= (3)^{2} \cdot 25 i^{2}

(3)^{2} = 3

= 3 \cdot 25 i^{2}

Multiply the numbers:

3 \cdot 25 = 75

= 75 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 75 (- 1)

Multiply the numbers:

75 (- 1) = - 75

= - 75

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Frequently Asked Questions (FAQ)

What is sqrt(-75)^2 ?
The solution to sqrt(-75)^2 is -75