Question

Pls solve the below in attachment

Answer 1

Answer:-

$\dfrac{5}{6}$

Given:-

$\dfrac{ \sqrt{125} \times \sqrt{27} }{ \sqrt{180} \times \sqrt{24} }$

To solve :-

The above problem.

Solution :-

We can write it,

$\implies$ $\dfrac{ \sqrt{25 \times 5} \times \sqrt{9 \times 3} }{ \sqrt{36 \times 5} \times \sqrt{4 \times 6} }$

We know that

25 = 5²

36 = 6²

9 = 3²

$\implies$ $\dfrac{5 \sqrt{5} \times 3 \sqrt{3} }{6 \sqrt{5} \times3 \sqrt{3} }$

$\implies$ $\dfrac{15 \sqrt{15} }{18 \sqrt{15} }$

Cancel out √15 ,

$\implies$ $\dfrac{18\cancel{\sqrt{15}}}{18\cancel{\sqrt{15}}}$

$\implies$ $\dfrac{15}{18} \\ \dfrac{5}{6}$

hence, the value is $\dfrac{5}{6}$

Answer 2

Answer:

Step-by-step explanation:

REFER TO ATTACHMENT

firstly we'll break the the terms in prime factors and convert them in smallest digit

and then do square and square root of the how to get simplest form

then solve it up to it is possible