The square source of 648 is expressed as √648 in the radical kind and as (648)½ or (648)0.5 in the exponent form. The square source of 648 rounded approximately 5 decimal places is 25.45584. The is the optimistic solution of the equation x2 = 648. We deserve to express the square source of 648 in its lowest radical form as 18 √2.

You are watching: What is the square root of 648 1 What is the Square source of 648? 2 How to uncover the Square source of 648? 3 Is the Square root of 648 Irrational? 4 FAQs

## What is the Square root of 648?

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## How to discover Square source of 648? ### Value of √648 by Long division Method

Explanation:

Forming pairs: 06 and also 48Find a number Y (2) such the whose square is bring down the following pair 48, to the ideal of the remainder 2. The new dividend is now 248.Add the critical digit of the quotient (2) to the divisor (2) i.e. 2 + 2 = 4. To the appropriate of 4, discover a number Z (which is 5) such the 4Z × Z divide 248 by 45 through the quotient together 5, giving the remainder = 248 - 45 × 5 = 248 - 225 = 23.Now, let"s find the decimal areas after the quotient 25.Bring under 00 to the right of this remainder 23. The brand-new dividend is now 2300.Add the critical digit that quotient to divisor i.e. 5 + 45 = 50. Come the appropriate of 50, find a digit Z (which is 4) such the 50Z × Z division 2300 by 504 v the quotient as 4, offering the remainder = 2300 - 504 × 4 = 2300 - 2016 = 284.Bring under 00 again. Repeat above steps for finding an ext decimal areas for the square source of 648.

Therefore, the square root of 648 by long division method is 25.4 approximately.

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## Square source of 648 resolved Examples

Example 1: resolve the equation x2 − 648 = 0

Solution:

x2 - 648 = 0 i.e. X2 = 648x = ±√648Since the worth of the square source of 648 is 25.456,⇒ x = +√648 or -√648 = 25.456 or -25.456.

Example 2: If the area of a one is 648π in2. Discover the radius the the circle.

Solution:

Let "r" be the radius of the circle.⇒ Area that the one = πr2 = 648π in2⇒ r = ±√648 inSince radius can"t it is in negative,⇒ r = √648The square root of 648 is 25.456.⇒ r = 25.456 in

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## FAQs ~ above the Square root of 648

### What is the worth of the Square source of 648?

The square root of 648 is 25.45584.

### Why is the Square source of 648 one Irrational Number?

Upon element factorizing 648 i.e. 23 × 34, 2 is in weird power. Therefore, the square source of 648 is irrational.

### Evaluate 18 plus 19 square source 648

The provided expression is 18 + 19 √648. We understand that the square source of 648 is 25.456. Therefore, 18 + 19 √648 = 18 + 19 × 25.456 = 18 + 483.661 = 501.661

### What is the Square that the Square root of 648?

The square the the square root of 648 is the number 648 itself i.e. (√648)2 = (648)2/2 = 648.

### What is the Square source of 648 in easiest Radical Form?

We must express 648 together the product of its prime determinants i.e. 648 = 2 × 2 × 2 × 3 × 3 × 3 × 3. Therefore, √648 = √2 × 2 × 2 × 3 × 3 × 3 × 3 = 18 √2. Thus, the square root of 648 in the shortest radical type is 18 √2.

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### What is the Square source of -648?

The square root of -648 is an imagine number. It have the right to be written as √-648 = √-1 × √648 = i √648 = 25.455iwhere ns = √-1 and it is dubbed the imagine unit.