Question

-UUS.
7. Find the smallest number by which each of the following numbers must be multipli
so that the product becomes a perfect square :
(i) 48
(ii) 1008​

Answer 1

Answer:

(i) 3

ii) 7

Step-by-step explanation:

(i) According to the Prime factorisation method the prime factors of 48 are 2x2x2X2X3

If we try to form pair of these factors, then 3 remains unpaired so, if we multiplied the number by 3 so the pair Will be complete and there number 48 Will Convert into 144 Which is square of 12

iii) Prime factors of 1008=2x2x2x2x3x3x7

7 remains unpaired so 1 more 7 is needed to convert the number 1008 into a perfect square 7056. (1008X7=7056)

Hope it helps

Good Evening

Answer 2

The smallest number by which the 48 and 1008 must be multiplied are 3 and 7 respectively

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