C1 help please.

I'm self teaching AS maths (C1, C2 and D1) and I'm stuck on few questions. Mostly the questions at the end of the exercise which tend to be the harder ones.

I can't really ask my teacher as I'm a private candidate so I can only ask here.

$(1{\frac{9}{16}}){\frac{3}{2}}$

I've tried working it out by adding the fractions and then square rooting it.


Surds:

$\sqrt{200}+ \sqrt{80}$

do I just cancel it down?

I'm self teaching AS maths (C1, C2 and D1) and I'm stuck on few questions. Mostly the questions at the end of the exercise which tend to be the harder ones.

I can't really ask my teacher as I'm a private candidate so I can only ask here.

$(1{\frac{9}{16}}){\frac{3}{2}}$

I've tried working it out by adding the fractions and then square rooting it.


Surds:

$\sqrt{200}+ \sqrt{80}$

do I just cancel it down?

I assume that these are "simplify" questions. For the first one, turn it into an improper fraction and use the fact that $a^{\frac{m}{n}} = (\sqrt[n]{a})^{m}$. For the second one, what are the factors of 200 and 80? Are any of these square numbers? So can you pull any of them out of the square root?

For example $12 = 4 \times 3$ and 4 is a square number, so $\sqrt{12} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}$

Yep these are simplify questions: I've worked it out and for the first question I got:



and for the second one:

$6\sqrt{5}$

Your first answer's right but not your second one. Show your working and I'll show you where you're going wrong.