The square root of 164 is expressed together √164 in the radical type and as (164)½ or (164)0.5 in the exponent form. The square source of 164 rounded up to 7 decimal places is 12.8062485. That is the optimistic solution that the equation x2 = 164. We have the right to express the square root of 164 in its lowest radical form as 2 √41.

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Square root of 164: 12.806248474865697Square source of 164 in exponential form: (164)½ or (164)0.5Square source of 164 in radical form: √164 or 2 √41
 1 What Is the Square root of 164? 2 Is Square source of 164 reasonable or Irrational? 3 How to uncover the Square source of 164? 4 FAQs top top Square root of 164

## What Is the Square source of 164?

The square source of a number n is written as √n. This number as soon as squared or multiplied by itself outcomes in the original number n. The square root of 164 deserve to be created in multiple ways:

Radical form: √164 = 2√41 Decimal form: 12.806Exponent form: (164)1/2

## How to find the Square source of 164?

There room 2 methods to uncover the square source of 164:

Long division MethodPrime Factorization

### Long department Method

The square source of 164 through long division method consists of the complying with steps:

Step 1: Starting indigenous the right, we will certainly pair up the number of 164 by placing a bar above 64 and also 1 separately. We also pair the 0s in decimals in pairs of 2 indigenous left to right.Step 2: Find a number which, as soon as multiplied by itself, gives a product less than or equal to 1. This will be 1 obviously, so location 1 in the quotient and also the divisor"s place, which will result in the remainder gift 0. Step 3: Drag under 64 alongside the remainder 0. Also, add the divisor to itself and also write the below. (1+1=2)Step 5: discover the remainder and now drag under the pair that 0s from the decimal component of the number. Adding X to the divisor, the new divisor i do not care 24. Step 6: Repeat this procedure to gain the decimal locations you want.

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Therefore, the square source of 164 = 12.806

### Prime Factorization

Next, this deserve to be lessened further to 164 = 22 × 41Finally, to find the root of this from below it is really easy, √164 = √(22 × 41)√164 = 2√41 = 12.806

Therefore, the square root of 164 ≅ 12.806

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Important Notes

There are positive and an adverse root of 164: 12.806 and -12.806There will certainly be n/2 number in the square source of an even number through n digits.There will be (n+2)/2 number in the square root of one odd number through n digits.