Question

can you find where is the mistake​

Answer 1

Answer:

The mistake in your calculation starts from the third step.

${\sf{ {\underline{Given :}} \ \ {\dfrac{2}{3}} {\sqrt{7}} - {\dfrac{1}{2}} {\sqrt{2}} + 6 {\sqrt{11}} + {\dfrac{1}{3}} {\sqrt{7}} + {\dfrac{3}{2}} {\sqrt{2}} - {\sqrt{11}}}}$

I will solve the above equation by your method.

• Rearranging the terms.

$\implies{\sf{{\dfrac{2}{3}} {\sqrt{7}} + {\dfrac{1}{3}} {\sqrt{7}} - {\dfrac{1}{2}} {\sqrt{2}} + {\dfrac{3}{2}} {\sqrt{2}} + 6 {\sqrt{11}} - {\sqrt{11}} }}$

• Taking common terms out.

$\implies{\sf{ {\sqrt{7}} \left( {\dfrac{2}{3}} + {\dfrac{1}{3}} \right) - {\sqrt{2}} \left( {\dfrac{1}{2}} - {\dfrac{3}{2}} \right) + {\sqrt{11}} (6 - 1) }}$

$\implies{\sf{ {\sqrt{7}} \left( {\dfrac{3}{3}} \right) - {\sqrt{2}} \left( {\dfrac{- 2}{2}} \right) + {\sqrt{11}} (5) }}$

$\implies{\sf{ {\dfrac{3 {\sqrt{7}} }{3}} + {\dfrac{2 {\sqrt{2}} }{2}} + 5 {\sqrt{11}} }}$

$\implies$ √7 + √2 + 5√11