If the radical √98 is expressed as a reduced,

Question

mixed radical of the form a √b, then the value of 'a' is ? and the value of b is?

Answer 1

The radical is √(98).

First prime factorize the number 98.

98 = 1 * 2 * 7 * 7 = 2 * 7² .

⇒ √(98) = √(2 * 7²)

Use the formula : √(a * b) = √a * √b.

= √2 * √(7²)

= √2 * 7

= 7√2.

∴ √(98) = 7√2.

Compare 7√2 with mixed radical form a√b.

a = 7 and b = 2.