Question

find the smallest number by which the following numbers should be divided to obtain a perfect square. also find the square root of the perfect square thus obtained: 16200​

Answer 1

Answer:

Step-by-step explanation:

1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

Here, prime factor 5 has no pair. Therefore 1620 must be divided by 5 to make it a perfect square.

\therefore1620\div5=324∴1620÷5=324

And \sqrt{324}=2\times3\times3=18  

324

​

=2×3×3=18

Answer 2

Answer:

1. The smallest number by which 16200 should be divided to obtain a perfect square is 2.Ex, 16200÷2=8100
2. The perfect square of 8100 is 90.