Question

2/√5+√3+2 rationalise​

Answer 1

Answer:

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Answer 2

It's quite simple!

I'll show you how. :)

$\frac{2}{ \sqrt{5} } + \sqrt{3} + 2$

$= \frac{2}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } + \sqrt{3} + 2$

( since $\frac{ \sqrt{5} }{ \sqrt{5} } = 1$ )

$= \frac{2 \sqrt{5} }{5} + \sqrt{3} + 2$

Taking L. C. M. for the denominators gives us

$= \frac{2 \sqrt{5} }{5} + \frac{ \sqrt{3} \times 5 }{1 \times 5} + \frac{2 \times 5}{1 \times 5}$

$= \frac{2 \sqrt{5} }{5} + \frac{5 \sqrt{3} }{5} + \frac{10}{5}$

Now that the denominators are same, combine them.

$= \frac{2 \sqrt{5} + 5 \sqrt{3} + 10 }{5}$

HAPPY LEARNING!