Question

Repeated subtraction method for 784

Answer 1

$\sqrt{784}$  will be $28$

Step-by-step explanation:

Given,

Repeated subtraction method for $\sqrt{784}$

We know that square number is the sum of successive odd numbers. Therefore we need to find square root of a number by repeatedly subtracting successive odd numbers from $1$ until $0$ is obtained.

Now $784$ is the number.

So,

• $784 - 1 = 783$
• $783 - 3 = 780$

• $780 -5 = 775$

• $775 -7 = 768$

• $768-9 = 759$
• $759-11 = 748$

  .....

Similarly,

• $208-49 = 159$

• $159-51 = 108$

• $108- 53 = 55$

• $55-55 = 0$

Thus,

The $28^{th}$ term is $0$

So, $\sqrt{784}$  will be $28$