The square source of 80 is a number which when multiplied by itself, results in the number 80. Without speak more, let united state see just how to calculation the worth of the square source of 80 and also see some troubles to help us know this topic.

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

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

The square root of a number n is created as √n. This number when squared or multiply by itself results in the initial number n. The square source of 80 have the right to be written in many ways

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

There are multiple means to discover the square source of 80-

Long division MethodEstimation and ApproximationPrime Factorization

One can uncover out an ext about these techniques by click here. We will certainly be looking at the Long division Method and also Prime administer Method.

Long division Method

The square root of 80 by long division method is composed of the complying with steps:

Step 1: Pair 80 and place a bar over the digits. We likewise pair the 0s in decimals in pairs of 2 native left come right.Step 3: Drag a pair of 0’s down and also fill it next to 16 to do the dividend 1600.Step 4: twin the divisor 8, and enter 16 listed below with a blank digit ~ above its right. Assumption: v the largest possible digit(X) to to fill in the blank and the quotient because that which the product the 16X and also X outcomes in a value much less than or equal to 1600. Divide and also write the remainder. Step 5: Repeat this procedure to obtain the decimal areas you want.

See more: What Is 10 To The 5Th Power ? How Do You Solve 10 To The 5Th Power

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Prime administrate Method

The very first step in this method is to discover the prime factors of 80.80 = 2 × 2 × 2 × 2 × 5To find the source from here, we deserve to simplify this to√80 = √(2 × 2 × 2 × 2 × 5)√80 = 4√5

We can either leave it in ~ this or uncover the root of 5 i beg your pardon is 2.23 and simplify furtherTherefore, Square source of 80 = 4√5 ≅ 8.92

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Important Notes


There exist a optimistic and negative root that 80, 8.944 and also -8.944The square root of 80 is an irrational number that is non-terminating

Example 2: Joel had a doubt. The knew that 8.944 is a square root of 80. He wanted to understand if -8.944 is additionally a square source of 80? deserve to you clarify his doubt?

Solution: 

Let united state take an example of a perfect square number and extend the very same logic come clarify she doubt. We know that 6 is a square root of 36 because when 6 is multiply by itself it offers 36.But what around -6? Let united state multiply and check.-6 × -6 = 36, due to the fact that (- × - = +). Thus -6 is also a square root of 36Going through the exact same logic, -8.944 is also the square source of 80.