The square root of 166 is expressed together √166 in the radical type and together (166)½ or (166)0.5 in the exponent form. The square source of 166 rounded up to 5 decimal places is 12.88410. The is the hopeful solution that the equation x2 = 166.

You are watching: What is the square root of 166 1 What is the Square source of 166? 2 How to uncover the Square source of 166? 3 Is the Square root of 166 Irrational? 4 FAQs

☛ Check: Square root Calculator ### Value that √166 by Long division Method

Explanation:

Forming pairs: 01 and 66Find a number Y (1) such the whose square is bring down the next pair 66, to the best of the remainder 0. The new dividend is now 66.Add the last digit that the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. To the right of 2, uncover a number Z (which is 2) such that 2Z × Z divide 66 by 22 with the quotient as 2, offering the remainder = 66 - 22 × 2 = 66 - 44 = 22.Now, let"s discover the decimal locations after the quotient 12.Bring down 00 come the appropriate of this remainder 22. The new dividend is now 2200.Add the critical digit the quotient come divisor i.e. 2 + 22 = 24. Come the appropriate of 24, find a digit Z (which is 8) such the 24Z × Z divide 2200 by 248 through the quotient together 8, offering the remainder = 2200 - 248 × 8 = 2200 - 1984 = 216.Bring under 00 again. Repeat above steps because that finding much more decimal places for the square source of 166.

Therefore, the square root of 166 through long division method is 12.8 approx.

☛ also Check:

Example 1: fix the equation x2 − 166 = 0

Solution:

x2 - 166 = 0 i.e. X2 = 166x = ±√166Since the value of the square root of 166 is 12.884,⇒ x = +√166 or -√166 = 12.884 or -12.884.

Example 2: If the area of a circle is 166π in2. Find the radius the the circle.

Solution:

Let "r" be the radius that the circle.⇒ Area of the circle = πr2 = 166π in2⇒ r = ±√166 inSince radius can"t it is in negative,⇒ r = √166The square root of 166 is 12.884.⇒ r = 12.884 in

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## FAQs top top the Square source of 166

### What is the worth of the Square root of 166?

The square root of 166 is 12.88409.

### Why is the Square source of 166 an Irrational Number?

Upon element factorizing 166 i.e. 21 × 831, 2 is in strange power. Therefore, the square root of 166 is irrational.

### Is the number 166 a Perfect Square?

The element factorization the 166 = 21 × 831. Here, the prime variable 2 is not in the pair. Therefore, 166 is not a perfect square.

### If the Square source of 166 is 12.884. Discover the worth of the Square root of 1.66.See more: Acura Anti-Theft Light Blinking While Car Is Running, Una, Radio Wont Turn On, Stuck In Anti Theft Mode

Let us stand for √1.66 in p/q form i.e. √(166/100) = 1.66/10 = 1.288. Hence, the worth of √1.66 = 1.288

### Evaluate 3 to add 15 square root 166

The given expression is 3 + 15 √166. We know that the square source of 166 is 12.884. Therefore, 3 + 15 √166 = 3 + 15 × 12.884 = 3 + 193.261 = 196.261

### What is the Square the the Square root of 166?

The square that the square source of 166 is the number 166 chin i.e. (√166)2 = (166)2/2 = 166.