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3 votes
3 votes
Simplify this -2√(10 × 3√(20

User Alassane
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1 Answer

13 votes
13 votes

Answer:

-4√(5√(5

Explanation:

Lets work with 3√20 first

√20 can be simplified into 2√5 because if you factor √20 you will get 2,2, and 5= √2x2x5. Since radicals are the opposite of squaring you can take 2 of the 2's and put them outside the radical to get 2√5.

10x3√20

Using our simplified version of 3√20 from before, we can plug this in so it would be 10x2√5. Multiplying radicals you only need to multiply the base. The base is 2. 10x2 is 20 so this section will be simplified into 20√5.

-2√(10x3√(20

We plug in the simplified version of what we had from before again so it would look like -2√(20√(5. Now all we need to do is simplify the 20 in there. We do the same process again √2x2x5 and get 2√5. The 2 from 2√5 will multiply with -2 from the outside so your answer should be -4√(5√(5

-4√(5√(5

User Free Radical
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