Question

Q.3 Do as directed:

1. Find the numbers between squares of 25 and 26.

2. Find the smallest number that is divisible by each of the numbers 4, 9 and 10.

3. Find the square root of 31.36

4. Find the smallest number by which 675 must be multiplied to obtain a perfect cube.

5. Find the cube root of 110592.​

Answer 1

1. The square of the number 26 is 676 whereas the square of the number 25 is 625. Thus , the amount of numbers lying between the square of the numbers 25 and 26 are 51.

2. L.C.M. of 4, 9 and 10 is 180. Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square. Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.

3. Thee square root of 31.36 is 5.6.

4. The smallest natural number by which 675 should be multiplied to make a perfect cube is 5.

5. Thee cube root of 110592 is 48.