What is the square root of 98?

1 Answer
Oct 24, 2015

Answer:

#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+...))))#