The square root of 153 is expressed as √153 in the radical kind and together (153)½ or (153)0.5 in the exponent form. The square source of 153 rounded as much as 9 decimal areas is 12.369316877. It is the positive solution the the equation x2 = 153. We can express the square root of 153 in its shortest radical kind as 3 √17.

You are watching: What is the square root of 153

Square source of 153: 12.36931687685298Square root of 153 in exponential form: (153)½ or (153)0.5Square source of 153 in radical form: √153 or 3 √17
1.What Is the Square source of 153?
2.Is Square root of 153 rational or Irrational?
3.How to uncover the Square source of 153?
4.Tips and Tricks
5.FAQs on Square source of 153
6.Important note on Square source of 153

What Is the Square root of 153?

The square root of a number is the inverse process of squaring a number.


A square the a number y is x2 ⇒ y = x × x. 153 = 12.369 × 12.369√153 = √(12.369 × 12.369)153½ = (12.3692)½ 12.369 = 153½ ⇒ √153 = ±12.369

Is Square root of 153 reasonable or Irrational?


√153 = 12.3693168769. √153 cannot be composed in the form of p/q, for this reason it is an irrational number. The worth of the square root of 153 is a decimal number who digits ~ the point is never-ending or non-terminating. 


How to discover the Square root of 153?


The square root of 153 or any type of number deserve to be calculate in numerous ways. Two of them room the approximation method and the long department method.

Square source of 153 through Approximation Method

Take 2 perfect square number which are just smaller 보다 153 and just higher than 153. √144 12 Using the median method, divide 153 through 12 or 13Let united state divide by 12 ⇒ 153 ÷ 12 = 12.75Find the mean of 12,75 and 12.(12.75 + 12) / 2 = 24.75 ÷ 2 = 12.375√153 ≈ 12.369

Square source of 153 by the Long division Method

The long department method helps us to discover a more accurate value of square root of any type of number. Let"s see how to uncover the square root of 153 through the long department method.

Start pairing the number from the appropriate side of the number 153 by placing a bar on optimal of them. Below we will have two pairs: 53 and 1 (pairing native right).Now, uncover a number(a) who square is ≤ 1. The value of a will certainly be 1 as 1 × 1 = 1≤ 1.Drag the following pair under (new dividend becomes 053) and find a number (A) such the 2A × A ≤ 53. In this case, the value of A will be 2.Now, put a decimal in the dividend (153) ~ 3 and quotient (12) after 2 simultaneously. Also, include 3 bag of zero in the dividend after ~ the decimal (153. 00 00 00) and also repeat the over step for the remaining three bag of zeros.

So, we acquire the worth of the square source of √153 = 12.369 by the long department method.

*

Explore square roots using illustrations and also interactive examples


Tips and Tricks


The square source of 153 lies in between the square root of 144 and 169. Therefore, 12 Use the average method then, to advice the approximate value of √153.

Important Notes

√153 is 12.369 approximated to 3 decimal places.The simplified form of 153 in that radical form is 3√17.153 is one irrational number.

Example 1: Amy stacks 153 publications in such a way that there room as many books in every row as the number of rows. Just how many publications will she take out of the arrangement or how many publications will she include to make such one arrangement?

Solution: She requirements to uncover the least number come be included to 153 or subtracted native 153 to do it a perfect square. 153 lies between 144 and 169, which are the perfect squares close to 153.153 - 9 = 144 ⇒ 12 × 12 = 144153 + 16 = 169 ⇒ 13 × 13 = 169If Amy decides to have 12 books arranged in 12 rows, she will need to remove 9 books indigenous the arrangement. If she decides to have 13 books arranged in 13 rows, she will require 16 more books to fit right into the arrangement.


Example 2: What perfect sqaure number should Martin include to 153 so the the brand-new number obtained is additionally a perfect square?

Solution: 153 lies in between 144 and 169, which space the perfect squares closer to 153.Adding 16 to 153,153 + 16 = 169√16 = 4√169 = 1316 is a perfect square number169 is also a perfect square number.


Example 3: What perfect sqaure number should Martin subtract from 153 so that the brand-new number obtained is likewise a perfect square?

Solution: 153 lies in between 144 and 169 which are the perfect squares closer come 153.Subtracting 9 from 153,153 - 9 = 144√9 = 3√144 = 129 is a perfect square number144 is likewise a perfect square number.


Show price >

go to slidego come slidego come slide


 

*


FAQs on the Square root of 153

What is the value of the Square root of 153?

The square source of 153 is 12.36931.

Why is the Square source of 153 one Irrational Number?

Upon element factorizing 153 i.e. 32 × 171, 17 is in strange power. Therefore, the square source of 153 is irrational.

Evaluate 6 add to 13 square source 153

The offered expression is 6 + 13 √153. We recognize that the square source of 153 is 12.369. Therefore, 6 + 13 √153 = 6 + 13 × 12.369 = 6 + 160.801 = 166.801

What is the worth of 10 square root 153?

The square source of 153 is 12.369. Therefore, 10 √153 = 10 × 12.369 = 123.693.

What is the Square root of 153 in most basic Radical Form?

We should express 153 together the product of its prime factors i.e. 153 = 3 × 3 × 17. Therefore, √153 = √3 × 3 × 17 = 3 √17. Thus, the square root of 153 in the shortest radical type is 3 √17.

See more: How Many Licks Does It Take To Get To The Center Of A, Tootsie Gallery: How Many Licks Does It Take

If the Square root of 153 is 12.369. Find the worth of the Square root of 1.53.

Let us represent √1.53 in p/q type i.e. √(153/100) = 1.53/10 = 1.237. Hence, the worth of √1.53 = 1.237