Question

What is √ − 3 ⋅ √ − 27 =

Answer 1

We are given the expression:

√-3 * √-27

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Explaining the concept:

We know that:

√ab = √a * √b

Using this concept, we will simplify the given expression and solve it

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Simplifying the expression:

√-3 * √-27

√(-1*3) * √[(-1)*(3)(3)(3)]

√-1 * √3 * √-1 * √3 * √3 * √3

(√-1 * √-1) * (√3 * √3 * √3 * √3)

(√-1)² * (√3)² * (√3)²

-1 * 3 * 3

-9

Hence, after simplifying the given expression, we get -9