Question

The value of √54 + √24 √6 + √150 is equal to a. 5 b. 13/2 c. 2/20 d. 25 36​

Answer 1

Answer:

As a first step you are looking for squared values that you can 'take outside' the roots. Then seeing what you can do with the remaining roots.

24=4×6=22×6

= 54=2×27=2×3×9=6×32

Putting this together we have:

=√24+√56=√22×6+√32×6

= 2√6d+d3√6

= √6(2+3)=5√6