Question

What is the exact value of the expression the square root of 486. - the square root of 24. + the square root of 6.? Simplify if possible.

2the square root of 2.

2the square root of 6.

6the square root of 2.

8the square root of 6.

Answer 1

\[\sqrt{486} - \sqrt{24} + \sqrt{6}\]
\[= \sqrt{2 \times 3 \times 3 \times 3 \times 3 \times 3} - \sqrt{2 \times 2 \times 2 \times 3} + \sqrt{6}\]
\[= 9\sqrt{6} - 2\sqrt{6} + \sqrt{6}\]
=\[= 8\sqrt{6}\]

Ans.8th the square root of 6

@jboy_52 : your question's answered