Use the product rule to simplify the radical.?

Question

√26

a. 13
b. 13√2
c. 2√13
d. √26

Answer 1

26 = 2 * 13
There are no squares in the factors, so it doesn't reduce.

For the purposes of illustration:

Suppose the question was √52

52 = (2*2)*13
and there is a square present.
We can extract the square outside the root sign:

√52 = √(2*2) * √13
= 2√13

Answer 2

√24 = √(4)(6) = (√4)(√6) = 2√6

26 has no square factors like 4, 9, 25, so there's nothing you can do to simplify √26.