Question

Plz give full explanation​

Answer 1

Answer:

(c) 5√5

Step-by-step explanation:

For the sake of explanation, the above expression can be expanded into

$\frac{ \sqrt{15} \times \sqrt{15} \times \sqrt{15} }{ \sqrt{3} \times \sqrt{3} \times \sqrt{3} }$

It can be further expanded into

$\frac{ \sqrt{5} \times \sqrt{3} \times \sqrt{5} \times \sqrt{3} \times\sqrt{5} \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} \times \sqrt{3} }$

Now we can cancel √3 from both the numerator and the denominator.

$\frac{ \sqrt{5} \times \sqrt{5} \times \sqrt{5} }{1}$

We can shorten it back to

$5 \sqrt{5}$

Hence option C is correct

Answer 2

15√15=(15)1×(15)1/2=(15)1+1/2=(15)3/2

⇒  3√3=(3)1×(3)1/2=(3)3/2

⇒  Now, 15√15÷3√3

=  (15)3/2÷(3)3/2

=  (15/3)3/2

=  (5)3/2

=√125 =5√5

the required quotient is 5√5