# Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28.2 square root of 12 2 square root of 2 6 square root of 5 end root minus 4 square root of 7 6 square root of 10 end root minus 4 square root of 14

Simplify √ 45 to 3√ 5 and √ 28 to 2√ 7

Which gives you (3√5 +3√ 5 )+(−2√ 7 −2√ 7 )

Combine like terms = 6√ 5 −4√ 7

So the answer would be

6 square root of 5 end root minus 4 square root of 7

Hence, the simplified expression is:

6 square root of 5 end root minus 4 square root of 7.

i.e.

## Step-by-step explanation:

We are asked to simplify the expression:

3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28.

which mathematically is given by:

Since, we know that:

and

i.e. we need to simplify:

Now, we combine the like terms as follows:

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