What Is The Square Root Of 16?

You are here to get the answer to the question of what is the Square Root Of 16, 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 16 square root will be a number which when multiplied by itself gives you the answer 16. Let us see about the Square Root Of 16.

What Is The Square Root Of 16?

The Square Root Of 16 in radical form is written as √16 and the answer to the square root of 16 is 4.

Square Root Of 16

√16 = 4

Square Root Of 16 In Exponential Form

√16 = (16)½

Square Root Of 16 In Radical Form

√16 = 16

How To Find The Square Root Of 16?

To find the square root of 16 there are 2 methods.

Prime Factorization
Long Division Method

Let us find out the square root of 16 by both methods

Prime Factorization

To get the answer to the square root for 16 through the radical form method is very simple.

Now as 16 is a prime number so

16 = 2 x 8
16 = 2 x 2 x 4
16 = 2 x 2 x 2 x 2

So,

√16 = √2x2x2x2

√16 = √(2×2)²

√16 = √(4)²

√16 = 4

Therefore, the answer for √16 = 4

Long Division Method

The Square Root Of 16 in long division method is done in these steps

To find the square root of 16 using the long division method, follow these steps:

Step 1:

Write the numbers on the right side we will but 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 <=16. Here you need to write 4 as the divisor as when multiplied 4 by 4 you get 16 and the remainder will be 0.

Your quotient is 4 And your divisor is 4 and the remainder is 0 as you have got your remainder as 0 it cannot be further divided.

So the square root of 16 is 4

Is the Square Root Of 16 Rational or Irrational?

The Square Root Of 16 is a rational number.

As there is the number 4 that when multiplied by itself will give you the answer 16 so it is a perfect square so this number is a rational number.

Also, the square root of 16 is 4 which gives you a remainder of 0.

So 16 is a rational number

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FAQ

What Is The Square Root For 16?

The square root for 16 is 4 as 16 = 4 x 4 or √16 = 2 x 2 x 2 x 2 = √(2×2)² = √16 = √(4)²

Hence √16 = 4

Is √16 A Rational Number?

Yes, √16 is a rational number or the square root of 16 is a rational number as 4 x 4 is 16 so 16 is a complete square.

How To Find The Square Root?

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

For example square root of 16 = 4 x 4

Where 16 is a perfect square and the number 4 multiplied by it self gives you the number 16.

How Do You Simplify √ 16?

The square root of 16 can be found using the prime factorization method. To find the value, we should know the prime factorization of 16. Thus, the prime factorization of a number 16 is 2×2×2×2. Hence, the square root of 16 is equal to 4.

Why Is 16 The Square Root Of 4?

“A square root of a number is one of the number’s two equal factors. Thus, 4 is a square root of 16 because (4)(4) = 16. Likewise, ‒4 is also a square root of 16 because (‒4)(‒4) = 16.

Are There Two Square Roots Of 16?

Each positive number has two square roots, positive and negative, and both the positive and negative numbers have the same absolute value. From this calculation, the square of -4 is 16, and the square of 4 is also 16, so we can say that the square roots of 16 are both 4 and -4.

Conclusion

So 4 is the Square Root Of 16 and you can calculate the root of 16 by 2 methods which are the prime factorisation & Long Division Method. After understanding the methods mentioned above you can easily find the Square Root Of 16.