The square source of 1089 is expressed together √1089 in the radical kind and together (1089)½ or (1089)0.5 in the exponent form. The square source of 1089 is 33. That is the positive solution of the equation x2 = 1089. The number 1089 is a perfect square.

You are watching: What is the square root of 1089

Square root of 1089: 33Square root of 1089 in exponential form: (1089)½ or (1089)0.5Square root of 1089 in radical form: √1089

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1.What is the Square source of 1089?
2.How to uncover the Square source of 1089?
3.Is the Square source of 1089 Rational?
4.FAQs

The square source of 1089, (or root 1089), is the number which as soon as multiplied through itself gives the product together 1089. Therefore, the square source of 1089 = √1089 = 33.

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Value that √1089 by Long division Method

Explanation:

Forming pairs: 10 and also 89Find a number Y (3) such that whose square is lug down the following pair 89, to the best of the remainder 1. The brand-new dividend is currently 189.Add the critical digit the the quotient (3) come the divisor (3) i.e. 3 + 3 = 6. Come the ideal of 6, discover a digit Z (which is 3) such the 6Z × Z division 189 by 63 v the quotient as 3, giving the remainder = 189 - 63 × 3 = 189 - 189 = 0.We stop the procedure since the remainder is now 0 and there are no much more digits that have the right to be lugged down.

Therefore, the square root of 1089 by long department method is 33.


Is Square source of 1089 Rational?


The value of √1089 is 33. Hence, the square source of 1089 is a reasonable number.

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Square source of 1089 resolved Examples


Example 1: resolve the equation x2 − 1089 = 0

Solution:

x2 - 1089 = 0 i.e. X2 = 1089x = ±√1089Since the value of the square source of 1089 is 33,⇒ x = +√1089 or -√1089 = 33 or -33.


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FAQs on the Square source of 1089

What is the value of the Square root of 1089?

The square root of 1089 is 33.

Why is the Square source of 1089 a reasonable Number?

Upon prime factorizing 1089 i.e. 32 × 112, we find that all the prime components are in even power. This suggests that the square root of 1089 is a confident integer. Therefore, the square source of 1089 is rational.

If the Square source of 1089 is 33. Discover the worth of the Square root of 10.89.

Let us represent √10.89 in p/q form i.e. √(1089/100) = 10.89/10 = 3. Hence, the worth of √10.89 = 3

What is the Square source of -1089?

The square source of -1089 is an imagine number. It have the right to be composed as √-1089 = √-1 × √1089 = ns √1089 = 33iwhere i = √-1 and it is dubbed the imaginary unit.

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What is the Square that the Square root of 1089?

The square that the square source of 1089 is the number 1089 chin i.e. (√1089)2 = (1089)2/2 = 1089.

Evaluate 6 add to 4 square root 1089

The given expression is 6 + 4 √1089. We understand that the square root of 1089 is 33. Therefore, 6 + 4 √1089 = 6 + 4 × 33 = 6 + 132 = 138