simplify. \n\\sqrt{98}

Explanation:

Step1: Factor 98 into prime factors

We know that (98 = 49\times2), and (49 = 7^2). So, (98 = 7^2\times2).

Step2: Simplify the square root

Using the property of square roots (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) (where (a\geq0) and (b\geq0)), we have (\sqrt{98}=\sqrt{7^2\times2}=\sqrt{7^2}\times\sqrt{2}). Since (\sqrt{7^2} = 7) (because the square root of a square of a non - negative number is the number itself), then (\sqrt{98}=7\sqrt{2}).

Answer:

(7\sqrt{2})