If a, b are rational numbers and (a - 1) \sqrt2 + 3 = b\sqrt2+ a, the value of (a + b) is:

Problems based on Numbers Test 1

Question : 16 of 40

Marks: +1, -0

If a, b are rational numbers and

(a - 1) √2 + 3 = b√2+ a

, the value of (a + b) is:

Solution:

If a and b are two rational numbers,

(a - 1) √2 + 3 = b√2+ a

(a-1)√2=b√2

(by comparing terms)
a = 3
a - 1 = b
3 - 1 = b
b = 2
So, a + b = 3 + 2 = 5.

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