What is the square root of 98?

1 Answer
George C.
Oct 24, 2015

sqrt(98) = 7 sqrt(2) ~~ 9.89949493661166534161

Explanation:

If a, b >= 0 then sqrt(ab) = sqrt(a)sqrt(b)

So sqrt(98) = sqrt(7^2*2) = sqrt(7^2)sqrt(2) = 7sqrt(2)

sqrt(98) is irrational, so its decimal representation neither terminates nor repeats.

It can be expressed as a repeating continued fraction:

sqrt(98) = [9;bar(1,8,1,18)] = 9+1/(1+1/(8+1/(1+1/(18+...))))

Related questions
See all questions in Square Roots and Irrational Numbers
Impact of this question
20594 views around the world
You can reuse this answer
Creative Commons License