Write the rationalizing factor of the following.

Given, √5 –√2

Need to find the rationalizing factor

⇒ We know that if the product of two surds is rational then each is called a rationalizing factor of each other

⇒ (√5 – √2)(√5 + √2)

= 25 + – – 2

= 23 is a rational number

∴ Rationalizing factor of (√5 – √2) is (√5 + √2)