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How do I Simplify V5(8+3V6) ???

How do I Simplify V5(8+3V6) ???-example-1

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Answer:


8√(5)+3√(30)

Explanation:

When we have any quantity being multiplied to an expression, we can use the distributive property. The distributive property says that
a(b+c)=ab+ac. In other words, we can distribute the outer number inside the parentheses.

Using the distributive property, we can then simplify the given equation as follows:


√(5)(8+3√(6))=8√(5)+3√(6)√(5)

Finally, you should recall that when multiplying square roots, you can simply bring all the numbers inside of one root. For instance,
√(2)*√(3)=√(2*3)=√(6) (note, this does not work for addition or subtraction, only multiplication or division). Therefore, we can simplify
√(6)√(5)=√(6*5)=√(30).

Finally, we can combine our answer into
√(5)(8+3√(6))=8√(5)+3√(6)√(5)=8√(5)+3√(30)

User Jan Dragsbaek
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