Question

What is the square root of 98?

Answer 1

`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+...))))`