Question

If a = √7 - √3, and b = √5 - √2, then which of the following is true?

• A. a=b
• B. a<b
• C. a>b
• D. cannot be determined

Answer 1

Answer:

C. a>b

Please provide the answer options.

Given:

$a=\sqrt7-\sqrt3,\qquad b=\sqrt5-\sqrt2$

$a \approx 2.646-1.732=0.914$

$b \approx 2.236-1.414=0.822$

So,

a>b