How do you do square root of 98 divided by square root of 18?

Question

4921 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-03T22:31:00

$sqrt(98) / sqrt(18) = 2.333333333...$

For the equation:

$sqrt(98) / sqrt(18)$

You must

$sqrt(98) = 9.899494937...$

$sqrt(18) = 4.242640687...$

$(9.899494937...)/ (4.242640687...) = 2.333333333...$

Or rounded up to
$2.3$ (repeating)

Answer 2 · 2018-03-03T22:36:51

$7/3$

$sqrt98/sqrt18$

We can start by factoring out a perfect square from $sqrt98$ . Since $2*49=98$ , $color(blue)(sqrt2*sqrt49)=sqrt98$ .

Next, let's factor out a perfect square from $sqrt18$ . Since $2*9=18$ , $color(blue)(sqrt2*sqrt9)=sqrt18$ .

Our new fraction is as follows:

$(sqrt2*sqrt49)/(sqrt2*sqrt9)$

This can be simplified as:
$(7cancel(sqrt2))/(3cancel(sqrt2))$

$7/3$ , as if you have the same things on the numerator and denominator, they will cancel.