What is the smallest whole number by which 768 should be multiplied to obtain a perfect square
Answers
Answer:
Step-by-step explanation:
768
For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.(i) 252 (ii) 180 (iii) 1008 (iv) 2028 (v) 1458 (vi) 768
Hence, prime factor 3 does not have its pair. If 3 gets a pair, then the number becomes a perfect square. Therefore, 768 has to be multiplied by 3 to get a perfect square.
So, perfect square is 768 × 3 = 2304
2304 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
Thus, √2304 = 2 × 2 × 2 × 2 × 3 = 48
answer=3
Answer:
Hey, the answer is 3...
Step-by-step explanation:
When we prime factorize 768, 3 does not have a pair. When all the numbers have a pair, only then it is a Perfect Square.
So, we multiply 768 by 3 to obtain a perfect square in this case.
Hope it helps!