Knockout NEET 2024
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Q.6 For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also find the square root of the square number so obtained.
(i) 252
(ii) 2925
(iii) 396
(iv) 2645
(v) 2800
(vi) 1620
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Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
(i) 252: Prime factorization of 252 gives =
.
For making pairs we will divide the given number by 7.
The obtained number is 36 and its square root is 6.
(ii) 2925: Prime factorization of 2925 gives =
To make pairs divide the given number by 13.
So the obtained number is 225 and its square root is 15.
(iii) 396: Prime factorization if 396 =
For obtaining perfect square number we need to divide the given number by 11.
So the required number is 36 and its square root is 6.
(iv) 2645: Prime factorization of 2645 =
We need to divide the given number by 5 to obtain the perfect square number.
So the obtained number is 529 and its square root is 23.
(v) 2800: Prime factorization of 2800 =
To make pairs we need to divide 2800 by 7.
So the required number is 400 and its square root is 20.
(vi) 1620: Prime factorization of 1620 gives =
To make pairs divide the given number by 5.
We get , number = 324 and its square root = 18.