What Is The Square Root Of 49?

You are here to get the answer to the question of what is the Square Root Of 49, let us see how it is calculated. The Square of a number is a number that when multiplied by itself is equal to the first number. The number 49 square root will be a number which when multiplied by itself gives you the answer 49. Let us see about the Square Root Of 49.

What Is The Square Root Of 49?

The Square Root Of 49 in radical form is written as √49 and the answer to the square root of 49 is 7.

Square Root Of 49

√49 = 7

Square Root Of 49 In Exponential Form

√49 = (49)½

Square Root Of 49 In Radical Form

√49 = √49

How To Find The Square Root Of 49?

To find the square root of 49 there are 2 methods.

Prime Factorization
Long Division Method

Let us find out the square root of 49 by both methods

Prime Factorization

To get the answer to the square root for 49 through the radical form method is very simple.

Now as 49 is a prime number so

49 = 7 x 7

So,

√49 = √7×7

√49 = √(7)²

√49 = 7

Therefore, the answer for √49 = 4

Long Division Method

The Square Root Of 49 in long division method is done in these steps

To find the square root of 49 using the long division method, follow these steps:

Step 1:

Write the numbers on the right side we will put a bar above it

Step 2:

Write such number on the left side that when we multiplied by itself you get a number that is either <=49. Here you need to write 7 as the divisor and 7 as the quotient when multiplied 7 by 7 you get 49 and the remainder will be 0.

Your quotient is 7 And your divisor is 7 and the remainder is 0 as you have got your remainder as 0 it cannot be further divided.

So the square root of 49 is 7

Is the Square Root Of 49 Rational or Irrational?

The Square Root Of 49 is a rational number.

As there is the number 7 that when multiplied by itself will give you the answer 49 so it is a perfect square so this number is a rational number.

Also, the square root of 49 is 7 which gives you a remainder of 0.

So √49 is a rational number

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FAQ

What Is The Square Root For 49?

The square root for 49 is 7 as 49 = 7 x 7 or √49 = 7×7 = √(7)²

Hence √49 = 7

Is √49 A Rational Number?

Yes, √49 is a rational number or the square root of 49 is a rational number as 7 x 7 is 49 so 49 is a complete square.

How To Find The Square Root?

You can find the Square root of a number by taking such a number when multiplied by itself gives you the original number.

For example square root of 49 = 7×7

Where 49 is a perfect square and the number 7 multiplied by itself gives you the number 49.

Conclusion

So 7 is the Square Root Of 49 and you can calculate the root of 49 by 2 methods which are the prime factorization & Long Division Method. After understanding the methods mentioned above you can easily find the Square Root Of 49.