Question

what is the rationalizing factor of √50 ?​

Answer 1

Answer:

√2 is the Rationalizing factor of √2.

Step-by-step explanation:

To get the simplest Rationalizing factor, Let's simplify √50

⟹ √50

⟹ √(5 × 10)

⟹ √(5 × 2 × 5)

⟹ √(5² × 2)

⟹ 5√2

Here, it's 5 × √2, where, 5 is already Rational number. so we need to convert √2 ( which is irrational ) into a Rational number. we could increase or decrease 5√2 by the factor of √2, to get a Rational number.

If we increase 5√2 by the factor of √2

⟹ 5√2 × √2

⟹ 5 (√2)²

⟹ 5 × 2

⟹ 10

If we decrease 5√2 by the factor of √2

⟹ 5√2 ÷ √2

⟹ 5

So, √2 is the Rationalizing factor of √2.

Answer 2

Required Solution:-

√2 x √2 = 5 x 2 = 10, which is a rational number.

∴ √2 is the simplest form of the rationalizing factor of √50.