# Square Root of 16

The number a is a perfect square, with the positive solution of the equation being 4. The square root of 16 is expressed as either 0.5 exponent form or as the radical form √16.

• The square root of 16 is 4.
• Exponential notation for the square root of 16 can be written as (16)½ or (16)0.5.
• The radical representation of the square root of 16 is √16.
• 1. What is the square root of 16?2. Is the square root of 16 irrational or rational?3. How can I find the square root of 16?4. Frequently asked questions about the square root of 16.

For any two real numbers, A and B, the product of A and B gives itself multiplied by the number that is the square root of A.

A2 is equal to b.

A equals the square root of b.

The above definition represents that the square root of 16 will result in the number itself when multiplied by itself. This means that the square root of 16 is either the square root of b or the second root.

The square root of 16 is equal to √16.

16 is equal to 4 multiplied by 4. The square root of 16 is called 4. Here, 16 is a perfect square. The square root of 16 is 4. The operation of squaring -4 and 4 is the inverse of the square root of 16. 16 is equal to 16 multiplied by -4 squared, which is equal to 4 multiplied by 4.

A rational number, represented in the form of a/b, can be expressed as the quotient of two integers, where b does not equal zero. In the given context, the rational number “an” is equal to 16 times the square root of 4. On the other hand, an irrational number, represented by “an”, is equal to 16 times the square root of 4. This can be observed diagrammatically in the section above, where the square root of 16 can be either -4 or 4.

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The square root of 16 is calculated using the Long Division method and the Prime Factorization method.

### Square Root of 16 by Prime Factorization

Prime factorization can be used to follow the steps below:

• Step 1. Determine the prime factorization of 16 16 = 2 × 2 × 2 × 2 16 = 2 × 2.
• Step 2. Pair the prime factors obtained for 16.
• Step 3. Choose one factor from each pair and they can be written in the following format:
• Step 4. Therefore, by applying the exponent rule, we obtain,.
• The square root of 16 is equal to the square root of (2 multiplied by 2) squared.

The square root of 16 is equal to the square root of 42, which is equal to 4.

Now, let’s attempt to find the square root of 16 using the long division method!

### Square Root of 16 By Long Division

These are the instructions that must be followed in order to compute the square root of 16:

• Start by writing the number 16 as shown in the figure. Group the numbers in pairs from the right end. Both numbers will be under one bar. Step 1.
• Find the greatest number that, when squared, will yield 16 or a number less than 16 that is nearest to it. Proceed to Step 2.
• Step 3. Divide the dividend 16 by using 4 as the divisor.
• Step 4. The result obtained from the long division is the square root of 16.

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