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

Is Square root of 164 reasonable or Irrational?


How to find the Square source of 164?

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


Long division MethodPrime Factorization

One can uncover out other approaches by click here.

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.