Question

Rewrite this radicand as two factors, one of which is a perfect square.
/4.15
/12.5
/20.3
/10.6

Answer 1

I don't see the actual radical expressions — just problem numbers (4.15, 12.5, 20.3, 10.6). Could you paste the radicals (for example √12 or √180) you want rewritten?

Meanwhile, here is the method and some typical examples so you can apply it:

Method
- Find the largest perfect square that divides the radicand.
- Factor the radicand as (perfect square) × (other factor).
- Pull the square root of the perfect square outside the radical.

Examples
- √12 = √(4·3) = √4 · √3 = 2√3
- √20 = √(4·5) = 2√5
- √18 = √(9·2) = 3√2
- √50 = √(25·2) = 5√2

Decimals/fractions
- √12.5 = √(25/2) = √25 / √2 = 5 / √2 = (5√2)/2 after rationalizing
- √10.6 = √(53/5) — 53 and 5 have no square factors, so the only nontrivial factorization is 1·10.6 (or leave as √(53/5)).

Send the exact radicals and I’ll rewrite each one as a product with a perfect-square factor and simplify.