The square source of 80 is a number which when multiplied through itself, results in the number 80. Without speak more, let united state see how to calculate the worth of the square root of 80 and see some troubles to aid us know this topic.

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Square source of 80: √80 = 8.9442719...Square that 80: 80² = 6400

1.What is the Square root of 80?
2.Is Square root of 80 reasonable or Irrational?
3.How to uncover the Square source of 80?
4.FAQs top top Square root of 80

The square root of a number n is composed as √n. This number as soon as squared or multiply by itself outcomes in the original number n. The square source of 80 have the right to be composed in lot of ways

Radical form: √80 = 4√5Decimal form: 8.944Exponent form: (80)¹⁺²
80 is a number that is no a perfect square, an interpretation it go not have a natural number together its square root.

There room multiple methods to discover the square source of 80-

Long division MethodEstimation and also ApproximationPrime Factorization

One can uncover out much more about these approaches by clicking here. We will be looking at the Long department Method and also Prime administer Method.

Long department Method

The square source of 80 through long division method is composed of the complying with steps:

Step 1: Pair 80 and place a bar end the digits. We also pair the 0s in decimal in pairs of 2 native left to right.Step 3: Drag a pair of 0’s down and fill it alongside 16 to make the dividend 1600.Step 4: double the divisor 8, and also enter 16 listed below with a blank digit top top its right. Guess the largest feasible digit(X) to fill in the blank and also the quotient for which the product that 16X and X outcomes in a value much less than or equal to 1600. Divide and write the remainder. Step 5: Repeat this process to gain the decimal locations you want.

See more: What Will Be The Formula Of A Compound Formed By Aluminum And Sulfur? ?

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Prime administrate Method

The very first step in this technique is to discover the prime determinants of 80.80 = 2 × 2 × 2 × 2 × 5To find the root from here, we have the right to simplify this to√80 = √(2 × 2 × 2 × 2 × 5)√80 = 4√5

We have the right to either leaving it in ~ this or discover the root of 5 i m sorry is 2.23 and simplify furtherTherefore, Square source of 80 = 4√5 ≅ 8.92

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Important Notes


There exist a positive and an unfavorable root the 80, 8.944 and -8.944The square root of 80 is one irrational number that is non-terminating

Example 2: Joel had actually a doubt. He knew that 8.944 is a square root of 80. He want to recognize if -8.944 is likewise a square source of 80? can you clear up his doubt?

Solution: 

Let united state take an example of a perfect square number and also extend the very same logic come clarify her doubt. We recognize that 6 is a square root of 36 because when 6 is multiplied by chin it gives 36.But what around -6? Let united state multiply and also check.-6 × -6 = 36, due to the fact that (- × - = +). Because of this -6 is additionally a square root of 36Going through the exact same logic, -8.944 is also the square root of 80.