Square Root of 30

Square Root of 30 is 5.4772... It is represented as √30 or 30^1/2. When multiplied by itself, √30 will result in the number 30. Square Root of 30 is also equal to -5.4772... Hence, the value of square root of 30 is ±5.4722...

In this article, we will learn the value of the square root of 30, and how to find the value of the square root of 30.

👁 Square-Root-of-30

What is Square Root of 30?

Square Root of 30 is the number that when multiplied with itself gives the product 30. Hence, the value of root is equal to

√30 = 5.47722557505

The value of the square root of 30 is widely accepted as 5.477. Square Root of 30 can be represented in the following two forms:

• Radical Form: √30 = 5.47722...
• Fractional Exponent Form: (30)^1/2 = 5.47722

Root 30 Calculator

Try out the following calculator to find square root of 30

How to Find the Square Root of 30?

The square root of a number is the value that when multiplied by itself, results in the number taken as input. To compute the root of 30, we can use Long division Method

Square Root 30 Value by Long Division Method

Square Root using Long Divison is a versatile method to calculate square root of a number. To compute the square root of 30 using long division method, we need to follow the steps given below:

• Step 1: Write 30 as 30.000000 to make it easier to divide
• Step 2: Now look for the perfect square less than 30 i.e. 5 and divide the number with it.
• Step 3: Now the quotient and the remainder are 1. We will place a decimal in the quotient and bring down the pair of zeroes for further division.
• Step 4: Now add the quotient with the existing divisor, this will become the digit at the tens place for our next divisor.
• Step 5: For the unit’s place, we need to find a value that can be placed at the unit place of both quotient and the divisor such that the new divisor when multiplied with the unit digit of the quotient results in the highest number less than the remainder.
• Step 6: Now. bring down the next pair of zeros and repeat the steps 4th and 5th.

This can be done for infinite steps as the exact value of the square root of 30 goes up to infinite decimal places. We can compute the result up to 4 decimal places as that can be used for approximate value of the square root.

👁 Square-Root-of-30-by-Long-Divison-1

Is Square Root of 30 Rational or Irrational?

The value of √30 is 5.477….Its exact value can’t be determined exactly because it is non-terminating and non-repeating. Hence, square root of 30 is irrational. Also, irrational numbers cannot be expressed as a simple fraction.

So, the square root of 30 is an irrational number.

Also, check

• List of Square Roots from 1 to 30
• Squares and Square Roots