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What is the least perfect square which is divisible by each of 21, 36 and 66?
LCM of 21, 36, 66 = 2772
i.e., all multiples of 2772 are divisible by 21, 36 and 66
Prime factorization of 2772 is,
2772 = 2 × 2 × 3 × 3 × 7 × 11
i.e., to make it a perfect square, we have to multiply it by 7 and 11
Hence, required number = 2772 × 7 × 11 = 213444
The correct option is Option C.
(√7  1/√7)²
= (√7)²  2 × √7 × 1/√7 + (1/√7)²
= 7  2 + 1/7
= 5 + 1/7
= 36/7
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