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.

☛ Check: Square root Calculator ### 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