Question

Help would be nice...

Answer 1

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.

Answer 2

2the square root of 2.

2the square root of 6.

6the square root of 2.

8the square root of 6.

Answer 3

\[\large \sqrt{486} - \sqrt{24} + \sqrt{6}\]

we can ask ourselves..."what times what = 486?" and what times what = 24?

Answer 4

I'll give you a hint for this one...\(\large \sqrt{6}\) plays a bit role

Answer 5

\[\large 81 \times 6 = 486\]
\[\large 4 \times 6 = 24\]

so what we can write..is

\[\large \sqrt{81 \times 6} - \sqrt{4 \times 6} + \sqrt{6}\]

Answer 6

what is the square root of 81? ...that is 9....what is the square root of 4? well that is 2....so now we have

\[\large 9\sqrt{6} - 2\sqrt{6} + \sqrt{6}\]

This can then be simplified into \(\large 8\sqrt{6}\)