Find the smallest number by which 480 be multiplied so that
the product is a perfect square
Answers
Answer:
30
Step-by-step explanation:
√480 = √2*2*2*2*2*3*5
√480 = √(2*2)(2*2)2*3*5
√480 = 4√30
Since 30 is not in group,
480 must be multiplied by 30 to get a perfect square
Hence,
√480*30 = 4√30*30
√14400 = 120
Step-by-step explanation:
The english of this question is
What will be the smallest number which can be multiplied by 480. then the product becomes the former square
EXPLANATION:-At first,we find the prime factor(अभाजय गुणनखंड)of 480
So,Prime Factor of 480=2×2×2×2×2×3×5
=We know that,he ask square so,the pair of number is 2 and the number which is always same If he ask cube So, the pair of number is 3 and the number which is always same
Now,2×3×5=30 Ans..
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