For each of the following numbers, Find the smallest number, by which it should be multiplied so as to get a perfect square. Also find the square root of the square number so obtained. (i) 242 , (ii) 1280 , (iii) 245 , (iv) 968 , (v) 1728 , (vi) 4851
Answers
Answer:
Q.1
Step-by-step explanation:
given no - 4851 expressing it into prime factors , we have. 4851 = 3×3×7×7×11 we can see that 11 is left unpaired . to make 4851 a perfect square , 11 should be paired . so the smallest no which is multiplied by 4851 to make it a perfect square is 11. therefore 4851 × 11 = 3×3×7×7×11×11 . 4851 ×11 = 53361 is a perfect square . hence , the smallest multiple of 4851 which is a perfect sq = 53361 . and √53361 = 231 . hence , the sq root of new no is 231.
(OR)
First find factor of 4851
4851=3×1617
=3×3×539
=3×3×7×77
=3×3×7×7×11
frame pairs of factors which number left behind is your answer means here answer is 11
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