The document discusses square and square root topics for a 7th class online mathematics class. It provides examples of finding the smallest number needed to multiply a given number by to make it a perfect square. For 512, the smallest number is 1, and for 216 the smallest number is 6. The teacher's name and contact information is provided at the top for any questions.

1. ONLINE CLASS OF MATHEMATICS FOR
VII CLASS
TEACHER : SIR AHSAN
CONTACT: 03042915520
TOPIC : SQUARE AND SQUARE ROOT

2. What is the smallest whole
number by which 512 must be
multiplied to get the perfect
square?
Sol:
Taking LCM of 512

3. 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

4. 2 must be multiplied to 512 to make it perfect
square

5. What is the smallest number by
which 216 be multiplied so that it
has a square root?
 Sol:
 Taking LCM

6. 216 = 2 x 2 x 2 x 3 x 3 x 3

7. 216 = 2 x 2 x 2 x 3 x 3 x 3

8. 216 = 2 x 2 x 2 x 3 x 3 x 3
2 x 3 = 6

9. 6 must be divided to 216 to make it perfect square