Question

1. Find the perfect square numbers between 40 and 50.
2. Express
15^2
as the sum of two consecutive integers.

3. Find the square of -3/17

4. Check whether (6, 8, 10) is a Pythagorean triplet.
5. Using the prime factorisation method, find 1296 is a perfect square or
not.

6. Find the least square number which is divisible by each of the number
4, 8 and 12.
7. Find the square root of decimal number 10.24.
8. What is the least number that must be subtracted from 3793 so as to
get a perfect square? Also, find the square root of the number so
obtained.
9. A ladder 10 m long rests against a vertical wall. If the foot of the
ladder is 6 m away from the wall and the ladder just reaches the top of
the wall, how high is the wall?(HOT)
10. Find the smallest whole number by which 1008 should be multiplied
so as to get a perfect square number. Also, find the square root of the
square number so obtained.

Answer 1

Answer:

1.49 is a perfect square number

2.15^2=225

3.-3/17^2=9/289

4.6²+8²=10²

36+64=100

100=100 hence,(6,8,10)is a pythagorean triplet

5.1296=2¹⁰+272 hence, 1296 is not a perfect square

6.1 is the least square number which is divisible by 4,8 and 12

7.10.24=3.2×3.2=(3.2)²