The square source of 159 is expressed together √159 in the radical form and as (159)½ or (159)0.5 in the exponent form. The square root of 159 rounded as much as 8 decimal places is 12.60952021. The is the confident solution of the equation x2 = 159.

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 1 What is the Square root of 159? 2 How to uncover the Square source of 159? 3 Is the Square source of 159 Irrational? 4 FAQs

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### Value that √159 through Long division Method

Explanation:

Forming pairs: 01 and also 59Find a number Y (1) such the whose square is lug down the next pair 59, come the right of the remainder 0. The brand-new dividend is currently 59.Add the critical digit the the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. To the appropriate of 2, find a digit Z (which is 2) such that 2Z × Z division 59 by 22 with the quotient together 2, providing the remainder = 59 - 22 × 2 = 59 - 44 = 15.Now, let's discover the decimal locations after the quotient 12.Bring down 00 to the appropriate of this remainder 15. The new dividend is now 1500.Add the critical digit that quotient to divisor i.e. 2 + 22 = 24. To the best of 24, find a digit Z (which is 6) such that 24Z × Z division 1500 through 246 with the quotient together 6, giving the remainder = 1500 - 246 × 6 = 1500 - 1476 = 24.Bring under 00 again. Repeat above steps because that finding an ext decimal areas for the square source of 159.

Therefore, the square root of 159 by long department method is 12.6 approx.

☛ likewise Check:

Example 1: deal with the equation x2 − 159 = 0

Solution:

x2 - 159 = 0 i.e. X2 = 159x = ±√159Since the worth of the square root of 159 is 12.610,⇒ x = +√159 or -√159 = 12.610 or -12.610.

Example 2: If the area the a circle is 159π in2. Discover the radius the the circle.

Solution:

Let 'r' be the radius the the circle.⇒ Area that the circle = πr2 = 159π in2⇒ r = ±√159 inSince radius can't it is in negative,⇒ r = √159The square source of 159 is 12.610.⇒ r = 12.610 in

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## FAQs ~ above the Square root of 159

### What is the value of the Square source of 159?

The square source of 159 is 12.60952.

### Why is the Square root of 159 one Irrational Number?

Upon element factorizing 159 i.e. 31 × 531, 3 is in odd power. Therefore, the square root of 159 is irrational.

### What is the Square source of 159 in most basic Radical Form?

We must express 159 together the product of its prime determinants i.e. 159 = 3 × 53. Therefore, as visible, the radical kind of the square source of 159 cannot be simplified further. Therefore, the easiest radical kind of the square root of 159 can be composed as √159

### What is the worth of 15 square source 159?

The square source of 159 is 12.610. Therefore, 15 √159 = 15 × 12.610 = 189.143.

### What is the Square the the Square source of 159?

The square of the square root of 159 is the number 159 itself i.e. (√159)2 = (159)2/2 = 159.

See more: Convert 2/3 To Decimal Form? Fraction To Decimal Calculator

### If the Square root of 159 is 12.610. Find the worth of the Square root of 1.59.

Let us represent √1.59 in p/q form i.e. √(159/100) = 1.59/10 = 1.261. Hence, the worth of √1.59 = 1.261