The square root of 176 is expressed together √176 in the radical type and together (176)½ or (176)0.5 in the exponent form. The square source of 176 rounded as much as 6 decimal locations is 13.266499. It is the positive solution the the equation x2 = 176. We have the right to express the square source of 176 in its lowest radical form as 4 √11.

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Square root of 176: 13.2664991614216Square root of 176 in exponential form: (176)½ or (176)0.5Square source of 176 in radical form: √176 or 4 √11

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1.What is the Square root of 176?
2.How to discover the Square root of 176?
3.Is the Square root of 176 Irrational?
4.FAQs

What is the Square root of 176?


The square root of 176, (or source 176), is the number which as soon as multiplied through itself provides the product together 176. Therefore, the square root of 176 = √176 = 4 √11 = 13.2664991614216.

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How to uncover Square root of 176?


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Value that √176 by Long department Method

Explanation:

Forming pairs: 01 and 76Find a number Y (1) such that whose square is bring down the following pair 76, to the best of the remainder 0. The new dividend is currently 76.Add the last digit the the quotient (1) come the divisor (1) i.e. 1 + 1 = 2. To the right of 2, discover a digit Z (which is 3) such that 2Z × Z division 76 through 23 with the quotient as 3, giving the remainder = 76 - 23 × 3 = 76 - 69 = 7.Now, let"s discover the decimal locations after the quotient 13.Bring under 00 to the ideal of this remainder 7. The brand-new dividend is now 700.Add the last digit that quotient come divisor i.e. 3 + 23 = 26. To the ideal of 26, uncover a digit Z (which is 2) such that 26Z × Z divide 700 by 262 v the quotient together 2, providing the remainder = 700 - 262 × 2 = 700 - 524 = 176.Bring down 00 again. Repeat above steps because that finding much more decimal locations for the square root of 176.

Therefore, the square root of 176 by long department method is 13.2 approx.


Is Square root of 176 Irrational?


The actual value of √176 is undetermined. The worth of √176 approximately 25 decimal places is 13.26649916142159939645973. Hence, the square source of 176 is one irrational number.

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Square source of 176 fixed Examples


Example 1: fix the equation x2 − 176 = 0

Solution:

x2 - 176 = 0 i.e. X2 = 176x = ±√176Since the value of the square source of 176 is 13.266,⇒ x = +√176 or -√176 = 13.266 or -13.266.


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FAQs on the Square root of 176

What is the worth of the Square root of 176?

The square source of 176 is 13.26649.

Why is the Square root of 176 an Irrational Number?

Upon element factorizing 176 i.e. 24 × 111, 11 is in odd power. Therefore, the square root of 176 is irrational.

What is the Square root of -176?

The square source of -176 is an imagine number. It have the right to be composed as √-176 = √-1 × √176 = ns √176 = 13.266iwhere i = √-1 and also it is called the imagine unit.

If the Square root of 176 is 13.266. Find the worth of the Square root of 1.76.

Let us represent √1.76 in p/q form i.e. √(176/100) = 1.76/10 = 1.327. Hence, the value of √1.76 = 1.327

What is the Square root of 176 in easiest Radical Form?

We must express 176 as the product of its prime components i.e. 176 = 2 × 2 × 2 × 2 × 11. Therefore, √176 = √2 × 2 × 2 × 2 × 11 = 4 √11. Thus, the square root of 176 in the shortest radical kind is 4 √11.

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What is the worth of 8 square source 176?

The square root of 176 is 13.266. Therefore, 8 √176 = 8 × 13.266 = 106.132.