Question

how to solve square root of 78400

Answer 1

Answer:

A perfect square is a number that can be expressed as the product of two equal integers.

Step-by-step explanation:

1.A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.

2.Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.

3.All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Hope it will help you....

Answer 2

Answer:

$\sqrt{78400} = 280$ is the answer.

Step-by-step explanation:

Let x = 78400

Solving For square root of a number x.

We will break the number into two parts such that

$x = y*z\\x = 784 * 100$

We know that  $\sqrt{100} = 10$

We will find square root of both y and z first.

Square root of y = 784:

Factors of 784 be ass follows

$784 = 2 * 392 = 2 * 2 * 196$

Square root of 196 is

$196 = 2*2*7*7$ = 14

Hence Square root of 784 be

$\sqrt{784} = 2*14 = 28$

And $\sqrt{100} = 10$

Now for $\sqrt{x} = \sqrt{y} * \sqrt{z}$

$\sqrt{78400} = \sqrt{784} * \sqrt{100}\\ \sqrt{78400} = 28 *10\\ \sqrt{78400} = 280$

Hence answer is 280.