The square root of 133 is expressed together √133 in the radical form and together (133)½ or (133)0.5 in the exponent form. The square root of 133 rounded as much as 8 decimal areas is 11.53256259. It is the hopeful solution the the equation x2 = 133.

You are watching: What is the square root of 133

Square source of 133: 11.532562594670797Square root of 133 in exponential form: (133)½ or (133)0.5Square root of 133 in radical form: √133

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1.What is the Square root of 133?
2.How to discover the Square source of 133?
3.Is the Square root of 133 Irrational?
4.FAQs

The square source of 133, (or source 133), is the number which when multiplied by itself gives the product as 133. Therefore, the square root of 133 = √133 = 11.532562594670797.

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Value the √133 by Long department Method

Explanation:

Forming pairs: 01 and also 33Find a number Y (1) such the whose square is lug down the next pair 33, come the appropriate of the remainder 0. The brand-new dividend is currently 33.Add the last digit of the quotient (1) come the divisor (1) i.e. 1 + 1 = 2. Come the appropriate of 2, uncover a digit Z (which is 1) such the 2Z × Z division 33 through 21 through the quotient together 1, offering the remainder = 33 - 21 × 1 = 33 - 21 = 12.Now, let's discover the decimal locations after the quotient 11.Bring under 00 to the ideal of this remainder 12. The brand-new dividend is now 1200.Add the last digit that quotient to divisor i.e. 1 + 21 = 22. Come the best of 22, uncover a number Z (which is 5) such that 22Z × Z division 1200 by 225 with the quotient together 5, offering the remainder = 1200 - 225 × 5 = 1200 - 1125 = 75.Bring down 00 again. Repeat over steps for finding much more decimal places for the square source of 133.

Therefore, the square source of 133 through long division method is 11.5 approx.


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Example 1: fix the equation x2 − 133 = 0

Solution:

x2 - 133 = 0 i.e. X2 = 133x = ±√133Since the worth of the square root of 133 is 11.533,⇒ x = +√133 or -√133 = 11.533 or -11.533.


Example 2: If the area the a one is 133π in2. Find the radius that the circle.

Solution:

Let 'r' it is in the radius that the circle.⇒ Area the the one = πr2 = 133π in2⇒ r = ±√133 inSince radius can't it is in negative,⇒ r = √133The square root of 133 is 11.533.⇒ r = 11.533 in


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FAQs ~ above the Square source of 133

What is the value of the Square source of 133?

The square root of 133 is 11.53256.

Why is the Square root of 133 one Irrational Number?

Upon element factorizing 133 i.e. 71 × 191, 7 is in weird power. Therefore, the square root of 133 is irrational.

What is the Square that the Square root of 133?

The square that the square source of 133 is the number 133 itself i.e. (√133)2 = (133)2/2 = 133.

What is the Square root of -133?

The square source of -133 is an imagine number. It deserve to be composed as √-133 = √-1 × √133 = ns √133 = 11.532iwhere i = √-1 and it is referred to as the imagine unit.

Is the number 133 a Perfect Square?

The element factorization that 133 = 71 × 191. Here, the prime variable 7 is not in the pair. Therefore, 133 is no a perfect square.

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What is the worth of 3 square source 133?

The square source of 133 is 11.533. Therefore, 3 √133 = 3 × 11.533 = 34.598.