Square Root of 16

The square root of 16 is 4. Hence, 16 is a perfect square. The square root of 16 is written as √16. The number 16 is four times the square root of 4 and the square root of 4 is 2. This is mathematically represented as, 2 x 2 x 2 x 2 = 16. Parents and teachers must find such simple and interesting ways of teaching all about the square root of 16 to the little ones. Also, introduce the 16 times table. Learning the 16 times table helps them easily comprehend the concept of the square root of 16.

What is the Square Root of 16?

When a digit is multiplied by itself, the resultant product is the square root. In this context, 16 is the perfect square and its square root is 4. To simplify this calculation and help the little learners understand this concept, you can teach them this simple formula,

p2 = q

p = √q

In simple words, the above equation implies p is the second root of q. The square root of 16 is derived when 4 is multiplied by 4 itself. Also, the square root of 16 is expressed in the below given ways,

  • Exponent form: (16)½ or (16)0.5
  • Radical form: √16

Also, refer to Math Facts Games, available at Osmo.

How to Find the Square Root of 16?

Determining the square root of 16 can be done in several ways. But, one of the simplest ways to find the square root of 16 is by the prime factorization method. Now, let us learn how to determine the square root of 16 by the prime factorization method.

  • 2 x 2 x 2 x 2 = 16

16 = 2 x 2

  • Now, pair the prime factors in pairs to get the number 16.
  • Choose each factor from the pair and write in this way,

√16 = √ (2 × 2)2

√16 = (42)½ = 4

Parents and teachers can engage the children in Osmo’s Multiplication Worksheets.

How to Find the Square Root of Negative 16?

The square root of 16 is a real number. However, the square root of negative 16 is an imaginary and complex number. Here is how to find the square root of negative 16.

  • Teach kids to express the negative 16 as √16 x √-1
  • The square root of 16 is represented as √16. √16 = 4, and the √-1 is i
  • Thus, the square root of negative 16 is 4i

Is the Square Root of 16 Rational or Irrational?

The square root of 16 is a rational number. A rational number is a number that can be written as p/q, where q is unequal to 0. In simple words, any number or fraction whose denominator is not 0 is considered a rational number. In this case, the square root of 16 is 4 and it can be written as 4/1. Thus, the square root of 16 is a rational number.

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FAQs Related to Square Root of 16

Is the √16 an even number?

Yes. The √16 is an even number.

Is 16 a real number?

Yes. 16 is a real number.