find the smallest number by which 1008 must be multiplied to make it a perfect square
Answers
Answered by
1
Step-by-step explanation:
it is 7.We can find if we do LCM of 1008.Keep in squares forrm for resultant numbers if there is no pair of square form then it is the solution
Answered by
1
Answer:
★ Firstly we have to do prime
factorisation of 1008, we get
1008 = 2×2 × 2×2 × 3×3 × 7
★ We see from above that 7 does not have any pair
Thus, we have to multiply 1008 by 7 so as
to make it a perfect square.
★ So the number which obtains on multiplying
1008 by 7 = 1008 × 7
= 2×2 × 2×2 × 3×3 × 7×7
= 7056
7056 = (2 × 2) × (2 × 2) × (3 × 3) × (7 × 7)
= 2² × 2² × 3² × 7²
= 84²
★ Therefore 1008 on multiplying with 7
becomes a perfect square of 84
Hope its helps...
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