Question

The smallest number by which under root 125 should be multiplied so as to get a rational number is

Answer 1

Answer:

√5

Step-by-step explanation:

The given number 125 can be expressed as 5×5×5.

So, the square root of 125 =√(5×5×5) =5√5.

This is an irrational number as √5 is irrational.

Now, to make the square root of 125 i.e. √(125), a rational number we have to multiply √5 with it.

Hence, the final number becomes (5√5)*√5 =25 which is a rational number.

Therefore, we have to multiply √5 to get a rational number. (Answer)

Answer 2

Answer:

$\sqrt{5}$

is the smallest number by which

$\sqrt{125}$

should be multiplied