The square root of 2304 is expressed together √2304 in the radical form and together (2304)½ or (2304)0.5 in the exponent form. The square root of 2304 is 48. The is the optimistic solution the the equation x2 = 2304. The number 2304 is a perfect square.

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Square source of 2304: 48Square source of 2304 in exponential form: (2304)½ or (2304)0.5Square source of 2304 in radical form: √2304

 1 What is the Square root of 2304? 2 How to discover the Square root of 2304? 3 Is the Square root of 2304 Rational? 4 FAQs

The square root of 2304, (or source 2304), is the number which as soon as multiplied through itself offers the product as 2304. Therefore, the square source of 2304 = √2304 = 48.

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Value that √2304 through Long department Method

Explanation:

Forming pairs: 23 and also 04Find a number Y (4) such that whose square is lug down the next pair 04, to the ideal of the remainder 7. The brand-new dividend is now 704.Add the critical digit that the quotient (4) come the divisor (4) i.e. 4 + 4 = 8. To the appropriate of 8, discover a number Z (which is 8) such that 8Z × Z divide 704 by 88 v the quotient together 8, giving the remainder = 704 - 88 × 8 = 704 - 704 = 0.We prevent the process since the remainder is currently 0 and there room no much more digits that have the right to be carried down.

Therefore, the square root of 2304 by long department method is 48.

Is Square source of 2304 Rational?

The value of √2304 is 48. Hence, the square source of 2304 is a rational number.

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Square source of 2304 fixed Examples

Example 1: solve the equation x2 − 2304 = 0

Solution:

x2 - 2304 = 0 i.e. X2 = 2304x = ±√2304Since the value of the square root of 2304 is 48,⇒ x = +√2304 or -√2304 = 48 or -48.

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FAQs top top the Square source of 2304

What is the value of the Square root of 2304?

The square root of 2304 is 48.

Why is the Square root of 2304 a reasonable Number?

Upon prime factorizing 2304 i.e. 28 × 32, we uncover that all the prime factors are in even power. This suggests that the square source of 2304 is a optimistic integer. Therefore, the square root of 2304 is rational.

What is the Square source of -2304?

The square root of -2304 is an imaginary number. It have the right to be written as √-2304 = √-1 × √2304 = ns √2304 = 48iwhere ns = √-1 and also it is referred to as the imagine unit.

What is the Square that the Square root of 2304?

The square that the square root of 2304 is the number 2304 itself i.e. (√2304)2 = (2304)2/2 = 2304.

What is the worth of 16 square root 2304?

The square source of 2304 is 48. Therefore, 16 √2304 = 16 × 48 = 768.

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If the Square root of 2304 is 48. Find the worth of the Square source of 23.04.

Let us represent √23.04 in p/q kind i.e. √(2304/100) = 23.04/10 = 4. Hence, the worth of √23.04 = 4