We have to find the √24
Let us reduce √24 to the root of a number with a perfect square multiplied by some other whole number.
The factors of 24:
Out of these, 4 is the largest perfect square present.
4 X 6=24
Hence √24 can be written as
√24=√4⋅6=√4⋅√6 ———-(i) [ √ab=√a⋅√b]
Also we know that √4=2
So equation (i) can be written as
Hence √24 =2√6