Question

which of the following perfect square are square of odd number 900​

Answer 1

Answer=30

30 is the square number of number 900

Example :-

Now consider another number 38

• 38-1=37
• 37-3=34
• 34-5=29
• 29-7=22
• 22-9=13
• 13-11=2
• 2-13=-11

This shows that we are not able to express 38 as the sum of consecutive odd numbers starting with 1.Also,38 is not a perfect square.

So we can also say that if a natural number cannot be expressed as a sum of successive odd natural numbers starting with 1,then it is not a perfect square.

We can use this result to find weather a number is a perfect square or not.

A sum of consecutive numbers

Consider the following

• $3 { }^{2} = 9 = 4 + 5$
• $5 { }^{2} = 25 = 12 + 13$
• $7 {}^{2} = 49 = 24 + 25$

First number :-

$= \frac{3 {}^{2} - 1 }{2}$

Second number :-

$= \frac{3 {}^{2} + 1 }{2}$

Hence, 30 is the square number of number 900

Answer 2

Answer:

Step-by-step explanation:

Which of the following perfect square is the squar of an odd number 144,169,400.