1.

If (a - b) = √8 and (a + b) = √32 then find the value of b?1. -2√22. √23. -√24. 2√2

Answer» Correct Answer - Option 2 : √2

Given:

(a - b) = √8 and (a + b) = √32

Concept Used:

Basic concept of arithmetic and surds

Calculation:

It is given that (a - b) = √8

∴ √8 can be written as = 2√2

⇒ (a - b) = 2√2      ---(1)

And (a + b) = √32

∴ √32 can be written as = 4√2

⇒ (a + b) = 4√2     ---(2)

By equating (1) and (2), we get

a - b + a + b = 2√2 + 4√2

⇒ a = 3√2 and b = √2

Hence, option (3) is correct



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