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

Rate answer

Answer:

Hence, the simplified expression is:

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

i.e. $6\sqrt{5}-4\sqrt{7}$

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:

$3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}$

Since, we know that:

$\sqrt[45}=\sqrt{3\times 3\times 5}\\\\i.e.\\\\\sqrt{45}=3\sqrt{5}$

and

$\sqrt{28}=\sqrt{2\times 2\times 7}\\\\i.e.\\\\\sqrt{28}=2\sqrt{7}$

i.e. we need to simplify:

$3\sqrt{5}-2\sqrt{7}+3\sqrt{5}-2\sqrt{7}$

Now, we combine the like terms as follows:

$=3\sqrt{5}+3\sqrt{5}-2\sqrt{7}-2\sqrt{7}\\\\=6\sqrt{5}-4\sqrt{7}$

Rate answer

Wrong answer?

If your question is not fully disclosed, then try using the search on the site and find other answers on the subject Mathematics.

Find another answers