Question

1.Rationalizing factor of (2+√3) is -----------------

Answer 1

Answer:

Rationalization factor of √2 + √3 is √2 - √3.

Step-by-step explanation:

We are Given with irrational number that is √2 + √3

We need to find Rationalization factor of given number.

Rationalization factor of a number is a number whose product with given number gives a rational number.

Here we get a rational number when √2 - √3 is multiplied with √2 + √3 .

⇒ ( √2 + √3 ) × ( √2 - √3 )

= ( √2 )² - ( √3 )² (using identity, a² - b² = ( a - b )( a + b ))

= 2 - 3

= -1

Therefore, Rationalization factor of √2 + √3 is √2 - √3,,, hope it helps

Answer 2

Rationalizing factor of (2+√3)  is

2+√3 * 2-√3 / 2-√3

4 - 3 / 2-√3 = 1 / 2-√3 (Answer)