Question

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what is the simplified form of the product \sqrt(3)*HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE

what is the simplified form of the product \sqrt(3)*8\sqrt(5)

A. 9\sqrt(3)

B. 24

C. 72

D. 8\sqrt(3)

Answer 1

Answer: Below

Explanation:

So let's actually make a readable expression first.

`(8√(3) )/(√(5) )`

We first want to rationalize denominators (turning the denominator into an integer),so multiply both the numerator and denominator by sqrt(5). This method is called the big one, and doesn't change an expression since sqrt(5)/sqrt(5) = 1.

`(8√(3) )/(√(5) ) * (√(5) )/(√(5) ) = (8√(3)√(5) )/(5) = (8√(15) )/(5 )`

This is our simplified equation.