Question

For each of the following numbers, find the smallest natural number by which it should be multiplied so as
to get a perfect square. Also find the square root of the square number so obtained:
(i) 294

Answer 1

Step-by-step explanation:

294.

2|294

3|147

7|49

7|7

|1 =>294=2×3×7×7. we need to multiply it by 6 then it becomes 2×2×3×3×7×7. Hence it becomes a perfect square. So the smallest natural number by which it should be multiplied so that 294 becomes a perfect square =>6. The square root of 1764 is 2×3×7 =>42. Hope it helps you.

Answer 2

Answer:

294= 2×3(7×7)

2×3 is left unpaired

=6

294×6= 1764

1764= 2×2×3×3×7×7

=2×3×7

= 42