The square root of 1920 is expressed as √1920 in the radical develop and as (1920)½ or (1920)0.5 in the exponent create. The square root of 1920 rounded as much as 10 decimal places is 43.8178046004. It is the positive solution of the equation x2 = 1920. We deserve to express the square root of 1920 in its lowest radical create as 8 √30.

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Square Root of 1920: 43.81780460041329Square Root of 1920 in exponential form: (1920)½ or (1920)0.5Square Root of 1920 in radical form: √1920 or 8 √30

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1.What is the Square Root of 1920?
2.How to uncover the Square Root of 1920?
3.Is the Square Root of 1920 Irrational?
4.FAQs

The square root of 1920, (or root 1920), is the number which once multiplied by itself provides the product as 1920. As such, the square root of 1920 = √1920 = 8 √30 = 43.81780460041329.

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Value of √1920 by Long Division Method

Explanation:

Forming pairs: 19 and 20Find a number Y (4) such that whose square is Bring down the next pair 20, to the appropriate of the remainder 3. The brand-new dividfinish is now 320.Add the last digit of the quotient (4) to the divisor (4) i.e. 4 + 4 = 8. To the ideal of 8, uncover a digit Z (which is 3) such that 8Z × Z Divide 320 by 83 with the quotient as 3, giving the remainder = 320 - 83 × 3 = 320 - 249 = 71.Now, let's find the decimal places after the quotient 43.Bring down 00 to the right of this remainder 71. The brand-new dividfinish is currently 7100.Add the last digit of quotient to divisor i.e. 3 + 83 = 86. To the best of 86, discover a digit Z (which is 8) such that 86Z × Z Divide 7100 by 868 with the quotient as 8, giving the remainder = 7100 - 868 × 8 = 7100 - 6944 = 156.Bring dvery own 00 aget. Repeat above steps for finding more decimal areas for the square root of 1920.

Because of this, the square root of 1920 by lengthy division strategy is 43.8 roughly.


The actual value of √1920 is undetermined. The value of √1920 as much as 25 decimal locations is 43.81780460041328907655758. Hence, the square root of 1920 is an irrational number.

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Example 1: Solve the equation x2 − 1920 = 0

Solution:

x2 - 1920 = 0 i.e. x2 = 1920x = ±√1920Because the value of the square root of 1920 is 43.818,⇒ x = +√1920 or -√1920 = 43.818 or -43.818.


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FAQs on the Square Root of 1920

What is the Value of the Square Root of 1920?

The square root of 1920 is 43.8178.

Why is the Square Root of 1920 an Irrational Number?

Upon prime factorizing 1920 i.e. 27 × 31 × 51, 2 is in odd power. As such, the square root of 1920 is irrational.

What is the Square Root of 1920 in Simplest Radical Form?

We must expush 1920 as the product of its prime factors i.e. 1920 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5. Because of this, √1920 = √2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 = 8 √30. Therefore, the square root of 1920 in the lowest radical form is 8 √30.

What is the Square Root of -1920?

The square root of -1920 is an imaginary number. It can be written as √-1920 = √-1 × √1920 = i √1920 = 43.817iwhere i = √-1 and it is called the imaginary unit.

If the Square Root of 1920 is 43.818. Find the Value of the Square Root of 19.2.

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Let us recurrent √19.2 in p/q develop i.e. √(1920/100) = 19.2/10 = 4.382. Hence, the value of √19.2 = 4.382

What is the Value of 4 square root 1920?

The square root of 1920 is 43.818. Therefore, 4 √1920 = 4 × 43.818 = 175.271.