Question

A/(4√(ab))Rationalize the denominator:-

Answer 1

Given the expression:

`(a)/(4√(ab))`

You can rationalize the denominator by multiplying the numerator and the denominator by the square root in the denominator. Set up that:

`=(a)/(4√(ab))\cdot(√(ab))/(√(ab))`

Remember the following Property for Radicals:

`(√(x))(√(x))=(√(x))^2=x`

Then, you get:

`=(a√(ab))/(4(√(ab)^2))`
`=(a√(ab))/(4ab)`

Notice that there is an "a" in the numerator and in the numerator. Knowing that:

`(a)/(a)=1`

You get:

`=(√(ab))/(4b)`

Hence, the answer is:

`=(√(ab))/(4b)`