Question

Write the rationalising factor of 3+2√2​

Answer 1

Answer:

3-2root2

the rationalizing factor of 3+2root 2 is 3-2root2.

Answer 2

Answer: Rationalizing factor of (3+2√2)​ is (3 - 2√2)​

Step-by-step explanation:

Rationalizing factor of a given irrational number is that number which when multiplied to the given number gives a rational number as product.

Rationalizing factor of number of form (a + b√c) is given by (a - b√c) , where a, b and c are real numbers and c is not a perfect square and is greater than 0.

Rationalizing factor of 3+2√2​ = 3 - 2√2​

(3+2√2)​ × (3 - 2√2)​

⇒ 3² - (2√2)²

⇒ 9 - 8

⇒ 1

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