The number 72 does not form a perfect square.This is expressed as √72.We are able to simplify the square root of 72.Using the long division method, we will learn how to find the square root of 72, along with examples.First let's find what square root 72 is.

**Calculate the square root of 72**

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**Quadrant 72: 722**

1. | What Is the Square Root of 72? |

2. | Is Square Root of 72 Rational or Irrational? |

3. | How to Find the Square Root of 72? |

4. | FAQs on Square Root of 72 |

In mathematical terms, the square root of 72 is the original number whose square is 72.Find it.

84852 x 72 = 72

If we find (8.4852)2 we get a number 71.99861904.Rounding this number to the nearest value, it's very close to 72.

Any number that is either terminating or nonterminating and which is divisible by a repeating decimal pattern is a rational number.In the example, we found that √72 = 8.48528137423857.It is a non-terminating decimal number that has no repeating pattern in the decimal part.It is not a rational number.*72, then, is irrational.

Please read these important notes:

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## How to Find the Square Root of 72?

There are several ways to find the square root of any number.Click on this link to learn more about finding the square root of 72.

**Simplified Radical Form of Square Root of 72**

The composite number 72. .To find the square root of any number, we multiply one number from each pair of the same numbers in its prime factorization.It has 2 pairs of the same number as its factorization, which is 2 * 2 * 2 * 3 * 3.So, the most simple radical form of 72 is 6√2.

### Square Root of 72 by Long Division Method

You can find the square root of 72 using long division as shown below.

**First, step one**

**Next, proceed to step 2**

**Step 3**

**Step 4**

**Step 5**

**Step 6**

**7th Step**

**This is the eighth step**

As of now, we have √72 = 8.485.In the example above, we see that √72 = 8.48528137423857

You can explore square roots using illustrations and interactive examples.

A think tank on:

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Answer

Radius is calculated by multiplying the area of a circle by the square inch formula.Given the information given,

(r2 = 72*)

Square root of two sides yields √r2= √72.r2 = square root of r2. 72 = square root of 8.48".

The formula for finding the area of a square allows finding the square's length.Using the information given,

Since area = length * length, length = √72 = 8.48 inches