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kherson [118]
3 years ago
8

What is √ − 3 ⋅ √ − 27 =

Mathematics
1 answer:
ipn [44]3 years ago
8 0

<u>We are given the expression:</u>

√-3 * √-27

__________________________________________________________

<u>Explaining the concept:</u>

We know that:

√ab = √a * √b

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

__________________________________________________________

<u>Simplifying the expression:</u>

√-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

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