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const2013 [10]
3 years ago
7

Which of the following is equal to the expression above

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:

15 \sqrt[3]{2}

Step-by-step explanation:

{(27 \times 250)}^{ \frac{1}{3} }  =  {(27 \times 125 \times 2)}^{ \frac{1}{3} }  \\  =  {27}^{ \frac{1}{3} }  \times  {125}^{ \frac{1}{3} }  \times  {2}^{ \frac{1}{3} }  \\  =  \sqrt[ 3]{27}  \times  \sqrt[3]{125}  \times  \sqrt[3]{2}  \\  =  \sqrt[3]{ {3}^{3} }  \times  \sqrt[3]{ {5}^{3} }  \times  \sqrt[3]{2}  \\  = 3 \times 5 \times  \sqrt[3]{2}  \\  = 15 \sqrt[3]{2}

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Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~

Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...

Equation: x^2 + 10x + 12 = 36

A.) (-12)^2 + 10(-12) + 12 = 36

144 - 120 + 12 = 36

24 + 12 = 36

36 = 36

(2)^2 + 10(2) + 12 = 36

4 + 20 + 12 = 36

24 + 12 = 36

36 = 36


Since we found the answer with the first try, we already know the correct answer is A.

So...

The Correct answer is: A.) x=-12 or x=2

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