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(2-√32)(√2-5) simplify

1 Answer

4 votes

Answer:

22√2 -18

Explanation:

You want the simplified form of the product (2 -√32)(√2 -5).

Product

It will be easier to simplify later if we simplify before we multiply.

= (2 -4√2)(√2 -5)

= 2(√2 -5) -4√2(√2 -5) . . . . use the distributive property

= 2√2 -10 -8 +20√2 . . . . . use the distributive property again

= 22√2 -18 . . . . . . . . . combine like terms

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(2-√32)(√2-5) simplify-example-1
answered
User Steen
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