# Question: What Is The Square Root Of 72?

## Is 72 a perfect square root?

Since 72 is not a perfect square, it is an irrational number. This means that the answer to “the square root of 72?” will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

## How do you calculate square root?

Example: Calculate the square root of 10 ( ) to 2 decimal places.

1. Find the two perfect square numbers it lies between. Solution: 32 = 9 and 42 = 16, so lies between 3 and 4.
2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)
3. Average 3.33 and 3. ( 3.33 + 3)/2 = 3.1667.

## How do you simplify SURD 72?

For example √ 72 can be reduced to √4×18=2√18. But 18 still has the factor 9, so we can simplify further: 2√18=2√9×2=2×3√2=6√2.

## What can equal to 72?

Here we can see all the Positive pair factors of 72.

• x 72 = 72. therefore, 1 and 72 are a factor pair of 72.
• x 36= 72. therefore, 2 and 36 are a factor pair of 72.
• x 24= 72. therefore, 3 and 24 are a factor pair of 72.
• x 18= 72.

## Is 75 a perfect square?

A: No, the number 75 is not a perfect square.

## Is 3 a square root?

The process of multiplying a number times itself is called squaring. Numbers whose square roots are whole numbers, (or more accurately positive integers) are called perfect square numbers. List of Perfect Squares.

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NUMBER SQUARE SQUARE ROOT
3 9 1.732
4 16 2.000
5 25 2.236
6 36 2.449

## IS 400 a perfect square?

400 is a perfect square. Because 20 * 20 = 400.

## How can we find square root of 2?

The square root of 2 is the number which when multiplied with itself gives the result as 2. It is generally represented as √ 2 or 2 ½. The numerical value of square root 2 up to 50 decimal places is as follows: √ 2 = 1.41421356237309504880168872420969807856967187537694…

## Is 16 a SURD?

To simplify a surd, write the number under the root sign as the product of two factors, one of which is the largest perfect square. Note that the factor 16 is the largest perfect square. Recall that the numbers 1, 4, 9, 16, 25, 36, 49, are perfect squares.

## How do you simplify?

To simplify any algebraic expression, the following are the basic rules and steps:

1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.

## Is 2 a SURD?

Surds are the irrational numbers which are roots of positive integers and the value of roots can’t be determined. Surds have infinite non-recurring decimals. Examples are √ 2, √5, ∛17 which are square roots or cube roots or nth root of any positive integer.