1.

1). (b)2). (a)3). (a) and (c)4). (b) and (c)

Answer»

Formula to be used:-

(a + b)2 = a2 + b2 +2ab

We have √6 + √2 and √5 + √3

Squaring both of them, we get

(√6 + √2)2 = 6 + 2 + 2√12

= 8 + 2√12

And (√5 + √3)2 = 5 + 3 + 2√15

= 8 + 2√15

Thus (√6 + √2)2 – (√5 + √3)2 = 2(√12 - √15) < 0

∴ (√6 + √2)2 – (√5 + √3)2 < 0

⇒ (√6 + √2)2 < (√5 + √3)2

For a2 < b2 we get

a < b if both a and b are positive

Thus (√6 + √2) < (√5 + √3).

∴ the incorrect options are (a) and (c).


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