Write the rationalizing factor of the following.

Given, 5–4√3

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

⇒ (5–4√3)(5+4√3)

⇒ 25+20√3–20√3–(16)(3)

= –23 is rational number

∴ Rationalizing factor of (5–4√3) is (5 + 4√3)