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⇒ x2 = √331776
⇒ x2 = 576
⇒ x = √576
⇒ x = 24
(5.4756)1/2 = 2.34
If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5?
What is the least perfect square which is divisible by each of 21, 36 and 66?
► L.C.M. of 21, 36, 66 = 2772
► Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444
= (12/11) x (11/15) x (15/14)
= 12/14
= 0.85
► Using identity, (a-b)2 = a2 + b2 - 2ab
► Here a = √7 and b = 1/√7
= (√7)2 + (1/√7)2 - 2. √7.1/√7
= 7 + 1/7 - 2
= 5 + 1/7
= 36/7
Step 1:
Step 2:
Factoring
Hence the answer is 129.
Squaring both side,
⇒ 0.0576 x a = 0.0576
⇒ a = 1
Squaring both side,
⇒ 0.000256 x a = 2.56
⇒ a = 2.56/0.000256
⇒ a = 10000
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