The square root of 80 is a number which as soon as multiplied by itself, results in the number 80. Without saying more, let us see how to calculation the worth of the square source of 80 and also see some difficulties to help us know this topic.

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

 1 What is the Square root of 80? 2 Is Square source of 80 rational or Irrational? 3 How to uncover the Square source of 80? 4 FAQs ~ above Square root of 80

The square source of a number n is created as √n. This number when squared or multiply by itself outcomes in the initial number n. The square root of 80 can be written in lot of ways

Radical form: √80 = 4√5Decimal form: 8.944Exponent form: (80)¹⁺²
80 is a number the is not a perfect square, an interpretation it go not have actually a organic number together its square root.

There room multiple ways to uncover the square root of 80-

Long department MethodEstimation and also ApproximationPrime Factorization

One can uncover out much more about these methods by click here. We will be looking at the Long division Method and Prime factorization Method.

### Long department Method

The square source of 80 through long department method consists of the complying with steps:

Step 1: Pair 80 and also place a bar over the digits. We additionally pair the 0s in decimals in bag of 2 indigenous left come right.Step 3: Drag a pair that 0’s down and also fill it beside 16 to do the dividend 1600.Step 4: twin the divisor 8, and also enter 16 listed below with a blank digit on its right. Guess the largest possible digit(X) to to fill in the blank and also the quotient for which the product the 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 get the decimal locations you want.

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### Prime administrate Method

The very first step in this method is to find the prime components of 80.80 = 2 × 2 × 2 × 2 × 5To uncover the root from here, we can simplify this to√80 = √(2 × 2 × 2 × 2 × 5)√80 = 4√5

We can either leaving it in ~ this or uncover the root of 5 which is 2.23 and also simplify furtherTherefore, Square root of 80 = 4√5 ≅ 8.92

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Important Notes

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

Example 2: Joel had actually a doubt. That knew the 8.944 is a square root of 80. He wanted to know if -8.944 is additionally a square source of 80? have the right to you clear up his doubt?

Solution:

Let united state take an instance of a perfect square number and also extend the same logic come clarify she doubt. We recognize that 6 is a square root of 36 because when 6 is multiply by chin it offers 36.But what about -6? Let us multiply and check.-6 × -6 = 36, because (- × - = +). Thus -6 is also a square root of 36Going by the very same logic, -8.944 is also the square root of 80.