The square root of 156 is expressed as √156 in the radical develop and also as (156)½ or (156)0.5 in the exponent create. The square root of 156 rounded up to 5 decimal locations is 12.49000. It is the positive solution of the equation x2 = 156. We have the right to express the square root of 156 in its lowest radical develop as 2 √39.

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Square Root of 156: 12.489995996796797Square Root of 156 in exponential form: (156)½ or (156)0.5Square Root of 156 in radical form: √156 or 2 √39

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1.What is the Square Root of 156?
2.How to discover the Square Root of 156?
3.Is the Square Root of 156 Irrational?
4.FAQs

The square root of 156, (or root 156), is the number which once multiplied by itself gives the product as 156. Because of this, the square root of 156 = √156 = 2 √39 = 12.489995996796797.

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Value of √156 by Long Division Method

Explanation:

Forming pairs: 01 and 56Find a number Y (1) such that whose square is Bring dvery own the following pair 56, to the right of the remainder 0. The brand-new dividend is currently 56.Add the last digit of the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. To the ideal of 2, find a digit Z (which is 2) such that 2Z × Z Divide 56 by 22 via the quotient as 2, giving the remainder = 56 - 22 × 2 = 56 - 44 = 12.Now, let's uncover the decimal areas after the quotient 12.Bring dvery own 00 to the right of this remainder 12. The new dividfinish is currently 1200.Add the last digit of quotient to divisor i.e. 2 + 22 = 24. To the best of 24, discover a digit Z (which is 4) such that 24Z × Z Divide 1200 by 244 via the quotient as 4, giving the remainder = 1200 - 244 × 4 = 1200 - 976 = 224.Bring dvery own 00 again. Repeat above steps for finding even more decimal locations for the square root of 156.

As such, the square root of 156 by long department strategy is 12.4 approximately.


The actual value of √156 is unfigured out. The value of √156 as much as 25 decimal places is 12.48999599679679641169379. Hence, the square root of 156 is an irrational number.

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Example 1: Solve the equation x2 − 156 = 0

Solution:

x2 - 156 = 0 i.e. x2 = 156x = ±√156Because the value of the square root of 156 is 12.490,⇒ x = +√156 or -√156 = 12.490 or -12.490.


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FAQs on the Square Root of 156

What is the Value of the Square Root of 156?

The square root of 156 is 12.48999.

Why is the Square Root of 156 an Irrational Number?

Upon prime factorizing 156 i.e. 22 × 31 × 131, 3 is in odd power. Thus, the square root of 156 is irrational.

What is the Square Root of 156 in Simplest Radical Form?

We must express 156 as the product of its prime factors i.e. 156 = 2 × 2 × 3 × 13. As such, √156 = √2 × 2 × 3 × 13 = 2 √39. Hence, the square root of 156 in the lowest radical form is 2 √39.

What is the Square Root of -156?

The square root of -156 is an imaginary number. It deserve to be composed as √-156 = √-1 × √156 = i √156 = 12.489iwright here i = √-1 and it is called the imaginary unit.

Is the number 156 a Perfect Square?

The prime factorization of 156 = 22 × 31 × 131. Here, the prime factor 3 is not in the pair. Because of this, 156 is not a perfect square.

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What is the Value of 8 square root 156?

The square root of 156 is 12.490. As such, 8 √156 = 8 × 12.490 = 99.920.