Question

What is the simplest rationalising factor of the square root of 125?

Answer 1

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5^3 =125

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Answer 2

Answer:

5√5 is the simplest rationalising factor of √125.

Step-by-step explanation:

Here Square root of 125 = √125 = √(5×5×5)= 5√5

So, 5√5 is the simplest rationalising factor of the square root of 125.

Here I applied rule of rationalising factor.

Rationalising factor = rational number × irrational number

For example,3√2

3 is a example of rational number and √2 is a example of irrational number.So their multiplication is a rationalising factor.

There are many examples like 5√3,7√2,8√2 etc