Question

1. Find the smallest number by which 512 should be multiplied so as to get a perfect square.


2. What is the smallest number by which 2662 must be divided so that the quotient is a perfect cube?​

Answer 1

Step-by-step explanation:

Answer. For a perfect square, the power of a number should be even. Hence, 2 is the smallest required number.

Answer 2

Answer:

1.  2

2. 2

Step-by-step explanation:

1.  Prime Factor Of 512

 512/2=256/2=128/2=64/2=32/2=16/2=8/2=4/2=2/2=1

Then,2*2    *2*2    *2*2    *2*2    *2

We can see that 2 in not pair,

Then,if we multiply 2 into 512, we get a pair and then obtained number will became a perfect square

ans.2

2.  Prime Factor Of 2662

  2662/2=1331/11=121/11=11/11=1

Then,2*11*11*11

We can see that 2 in not triple,

Then,if we divide 2 from 2662, we will get a perfect cube

Then,the smallest number by which 2662 must be divided so that a quotient is a perfect cube is 2

ans.2