Question

Square root of 98 in simplest radical form
a) 7√2
b) 2√7
c) 14√2
d) 3√2

Answer 1

To find the square root of 98 in its simplest radical form, factor 98 into 49 × 2, then take the square root of each factor to get 7√2, which is option a).

Step-by-step explanation:

The question is asking to find the square root of 98 in its simplest radical form. To simplify the square root of 98, we look for the largest perfect square factor of 98. We can express 98 as 49 × 2, where 49 is a perfect square.

So, the simplification will look like this:

• √98 = √(49 × 2)
• = √49 × √2
• = 7 × √2

Therefore, the simplest radical form of the square root of 98 is 7√2, which corresponds to option a).