Question

solve

Answer 1

Is it?
\[2 \sqrt{45} + \frac{3 \sqrt{20}}{2 \sqrt{5}}\]

Answer 2

yes

Answer 3

Your question is not very clear to me(or us probably).

Answer 4

Okay...

Answer 5

yes, i understand, after simplifying, we have show is it rational or not

Answer 6

Can you make prime factorization of 45??

Answer 7

Like:
\[50 = 5 \times 5 \times 2\]

Like this, can you do it for 45?

Answer 8

yes
3*3*5

Answer 9

So can you tell?
\[\sqrt{3 \times 3 \times 5} = ??\]

Answer 10

root 45

Answer 11

I mean what will come out of the square root brackets?

Answer 12

3 root 5

Answer 13

Yep..

Answer 14

Similarly can you do it for 20?

Answer 15

2 root5

Answer 16

Good..

Answer 17

so me getting answer =6root5+3

Answer 18

so its rational or not

Answer 19

So, now we are left with:
\[2 \times 3\sqrt{5} + \frac{3 \times 2 \sqrt{5}}{2 \sqrt{5}}\]

Answer 20

Yep...

What do you think?
\(3 + 6 \sqrt{5}\) will be rational or irrational?

Answer 21

irrational

Answer 22

Great..

Answer 23

thank u @waterineyes

Answer 24

You are welcome dear...