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

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

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

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

Radical form: √80 = 4√5Decimal form: 8.944Exponent form: (80)¹⁺²
80 is a number that is not a perfect square, definition it does not have actually a herbal number together its square root.

There room multiple methods to find the square root of 80-

Long division MethodEstimation and also ApproximationPrime Factorization

One can discover out more about these techniques by clicking here. We will certainly be looking at the Long department Method and also Prime administer Method.

Long department Method

The square source of 80 through long department method is composed of the following steps:

Step 1: Pair 80 and place a bar end the digits. We likewise pair the 0s in decimal in pairs of 2 from left to right.Step 3: Drag a pair the 0’s down and fill it next to 16 to do the dividend 1600.Step 4: dual the divisor 8, and enter 16 below with a blank digit on its right. Guess: v the largest feasible digit(X) to fill in the blank and also the quotient because that which the product that 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 process to get the decimal locations you want.

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Prime administer Method

The first step in this an approach is to find the prime components of 80.80 = 2 × 2 × 2 × 2 × 5To uncover the source from here, we deserve to simplify this to√80 = √(2 × 2 × 2 × 2 × 5)√80 = 4√5

We deserve to either leave it at this or discover the source of 5 which is 2.23 and simplify furtherTherefore, Square source of 80 = 4√5 ≅ 8.92

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Important Notes

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

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

Solution:

Let united state take an instance of a perfect square number and extend the exact same logic come clarify her doubt. We recognize that 6 is a square root of 36 because when 6 is multiplied by itself it offers 36.But what around -6? Let us multiply and check.-6 × -6 = 36, since (- × - = +). Because of this -6 is also a square root of 36Going by the exact same logic, -8.944 is also the square source of 80.