Square Root of 10

The square root of 10 is mathematically represented by √10. The number 10 is an even number and the smallest two digit number. 10 has four factors, like, 1, 2, 5 and 10. Also, 10 is a whole number. The square root of 10 up to 3 decimal places is 3.162, which is x2 = 10. Parents and teachers can introduce the square root of 10 to the little ones by teaching them Multiplication Table 1 – 20, available at Osmo. Multiplication tables help kids comprehend the properties of each number, count, its squares and square roots, and remember the time tables.

What is the Square Root of 10?

A square root is a numeral is another digit that gives the first numeral when it is multiplied by itself. For instance, the square root of 100 is 10. The square root of a number is represented by √n. This shows that there is a numeral y such as y x y = n. In addition, it can be mathematically expressed as,

  • y2 = n
  • y = √n

In this context, y is the square root of n. And, n represents 10. Hence, the square root of 10 up to 5 decimal places is 3.16227.

Also, refer to Multiplication Tables 1 – 10, available at Osmo.

How to Find the Square Root of 10?

The square root of 10 up to 12 decimal places is 3.162277660168. Moreover, there is a variety of methods to find the square root of 10. But, the easiest way to determine the square root of 10 is by the approximation method. Here is how to find the square root of 10 by the approximation method.

Approximation Method

  • √9 < √10 < √16
  • That is, 3 < √10 < 4

Now, multiply each number by 10.

  • 30 < 10 √10 < 40
  • √900 < 10 √10 < √1600

Then, move to determine the inequality.

  • √961 < 10 √10 < √1024
  • 31 < 10 √10 < 32

Finally, divide the numbers by 10

  • 3.1 < √10 <3.2

Ask the little ones to compute the average of both the upper and lower limits.

  • √10 approx. = (3.1+3.2) /2
  • √10 approx. = 3.15

Therefore, the square root of 10 by the approximation method is 3.15.

Parents and teachers can introduce the little ones to Osmo’s Math Facts Games.

Is the Square Root of 10 Rational or Irrational?

An irrational number is a number that cannot be expressed as p/q. Thus, the square root of 10 is an irrational number with never ending numbers. On the contrary, a rational number is a number that can be expressed as p/q. In addition, the numerals with the perfect squares are 4, 9, 16, 25, 36 and so on and, the square root of the numerals which are considered as non perfect squares and irrational numbers that have never ending numbers. Also, the square root of any number has two values, namely, positive and negative. The square root of 10 up to 10 decimal places is 3.1622776601.Osmo offers a variety of Math Activities and many other fun activities and games for kids. Visit the website to learn more about Worksheets for kids.

FAQs Related to Square Root of 10

The square root of 10 is not a rational number. True or False?

True. The square root of 10 is not a rational number.

10 a perfect square. Yes or No?

No. 10 is not a perfect square.