+0

# Can anyone help? (please explain) I need it asap!

0
49
3
+12

Can anyone help? (please explain) I need it asap!

Jan 2, 2021

#1
0

I'm getting an answer of 11/5.

Jan 2, 2021
#2
+112009
+1

Ignore the biggest square root till the end

Simplify each term on the numerator separately like this.

$$\frac{5}{\sqrt{80}}=\frac{5}{\sqrt{16*5}}=\frac{5}{4\sqrt{5}}$$

etc

Now you need to rationalize the denominator so multiply every term, top and bottom by   sqrt5

Keep going from there.   It all falls out quite nicely.

Jan 3, 2021
#3
+112009
+1

OR alternatively ....

rationalize the denominator first by multiplying top and bottom by sqrt5

$$\sqrt{\frac{\frac{5}{\sqrt{80}}*\sqrt5+\frac{\sqrt{845}}{9}*\sqrt{5}+\sqrt{45}*\sqrt5}{\sqrt5*\sqrt5}}\\ \sqrt{\frac{\frac{5}{\sqrt{16}}+\frac{\sqrt{5*169}}{9}*\sqrt{5}+\sqrt{5*9}*\sqrt5}{5}}\\$$

etc

Jan 3, 2021