If a = 0.1039, then the value of √4a2 - 4a + 1 + 3a is:
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Answer : Option D
Explanation :
√
4a2 - 4a + 1 + 3a = √(1)2 + (2a)2 - 2 x 1 x 2a + 3a
= √(1 - 2a)2 + 3a
= (1 - 2a) + 3a
= (1 + a)
= (1 + 0.1039)
= 1.1039
If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?
Answer : Option B
√1.5625 = ?
Answer : Option A
3√5 + √125 = 17.88
3√5 + √25 x 5 = 17.88
3√5 + 5√5 = 17.88
8√5 = 17.88
√5 = 2.235
√80 + 6√5 = √16 x 5 + 6√5
= 4√5 + 6√5
= 10√5 = (10 x 2.235) = 22.35
The least perfect square, which is divisible by each of 21, 36 and 66 is:
1|1.5625( 1.25 |1 |------- 22| 56 | 44 |------- 245| 1225 | 1225 |------- | X |-------
√1.5625 = 1.25.