Q4 of 67 Page 93

Find the smallest positive integer with which one has to multiply each of the following numbers to get a perfect square:

(i) 847


(ii) 450


(iii) 1445


(iv) 1352

(i) 847


847 = 7 × 11 × 11


847 = 7× 11 × 11 × 7


Hence required integer is 7


(ii) 450


450 = 5 × 5 × 6 × 3


450 = 5 × 5 × 6 × 3 × 2


Hence required integer is 2


(iii) 1445


1445 = 5 × 17 × 17


1445 = 5 × 17 × 17 × 5


Hence required integer is 5


(iv) 1352


1352 = 2 ×2 × 2 ×13 × 13


1352 = 2 ×2 × 2 ×13 × 13 × 2


Hence required integer is 2


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(i) 48


(ii) 11280


(iii) 729


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(i) 232


(ii) 600


(iii) 728


(iv) 824


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