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makvit [3.9K]
1 year ago
6

Find the simplified product 2 square root 5x^3(-3 square root 10x^2

Mathematics
1 answer:
Ivanshal [37]1 year ago
5 0

The simplified product of 2\sqrt{5x^{3} } and -3\sqrt{10x^{2} } is -30x^{5/2} \sqrt{2}.

Given Two expressions: -3\sqrt{10x^{2} } and 2\sqrt{5x^{3} }.

We have to multiply both the expressions and it can be done as under:

-3\sqrt{10x^{2} } *2\sqrt{5x^{3} }

Firstly we have to multiply -3 with 2 to get

=-6\sqrt{10x^{2} }\sqrt{5x^{3} }

Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.

=-6x^{3/2} x\sqrt{10}\sqrt{5}

Now we have to multiply both the numbers in the root to get the answer;

=-6x^{5/2} \sqrt{50}

Square root of 50 is 5 root 2.

=-6*5\sqrt{2}x^{5/2}

=-30\sqrt{2}x^{5/2}

Hence the simplified product is -30\sqrt{2}x^{5/2}.

Learn more about product here brainly.com/question/10873737

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