Question

The value of √3 - 2√2 is
A. √2- 1
B.√2 + 1
C.√3 - √2
D. √3 + √2

Answer 1

Given :  √3 - 2√2

We have , √(3 - 2√2)

= √(2 + 1 - 2√2)

= √(√2)² + 1² - 2 × √2 × 1)

= √(√2 - 1)²

[By using an identity, a² + b² – 2ab = (a – b)² ]

= √(√2 - 1)²

= √2 - 1  

√3 - 2√2 = √2 - 1  

Hence , the value of √3 - 2√2 is √2 - 1 .

Among the given options option (A) √2 - 1  is correct.

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The simplest rationalising factor of 2√5 - √3 is

A.2√5 + 3

B. 2√5 + √3

C.2√5 + √3

D.√5 -√3

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If √3 - 1 / √3 + 1 = a – b√3, then

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Answer 2

Step-by-step explanation:

The value of √3 - 2√2 is

A. √2- 1✔️

B.√2 + 1

C.√3 - √2

D. √3 + √2