The square root of 1200 is expressed as √1200 in the radical kind and as (1200)½ or (1200)0.5 in the exponent form. The square source of 1200 rounded up to 6 decimal places is 34.641016. It is the hopeful solution of the equation x2 = 1200. We can express the square root of 1200 in its shortest radical type as 20 √3.

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Square source of 1200: 34.64101615137755Square source of 1200 in exponential form: (1200)½ or (1200)0.5Square root of 1200 in radical form: √1200 or 20 √3

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1.What is the Square root of 1200?
2.How to discover the Square root of 1200?
3.Is the Square source of 1200 Irrational?
4.FAQs

The square source of 1200, (or source 1200), is the number which as soon as multiplied by itself gives the product as 1200. Therefore, the square root of 1200 = √1200 = 20 √3 = 34.64101615137755.

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Value that √1200 through Long division Method

Explanation:

Forming pairs: 12 and 00Find a number Y (3) such the whose square is carry down the next pair 00, to the appropriate of the remainder 3. The new dividend is currently 300.Add the critical digit of the quotient (3) to the divisor (3) i.e. 3 + 3 = 6. Come the right of 6, discover a number Z (which is 4) such that 6Z × Z divide 300 through 64 through the quotient together 4, giving the remainder = 300 - 64 × 4 = 300 - 256 = 44.Now, let's discover the decimal places after the quotient 34.Bring down 00 to the best of this remainder 44. The brand-new dividend is currently 4400.Add the critical digit of quotient to divisor i.e. 4 + 64 = 68. Come the ideal of 68, find a number Z (which is 6) such that 68Z × Z divide 4400 through 686 through the quotient together 6, providing the remainder = 4400 - 686 × 6 = 4400 - 4116 = 284.Bring down 00 again. Repeat over steps for finding more decimal locations for the square root of 1200.

Therefore, the square root of 1200 by long division method is 34.6 approx.


The actual value of √1200 is undetermined. The worth of √1200 up to 25 decimal places is 34.64101615137754587054893. Hence, the square source of 1200 is one irrational number.

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Example 1: settle the equation x2 − 1200 = 0

Solution:

x2 - 1200 = 0 i.e. X2 = 1200x = ±√1200Since the worth of the square root of 1200 is 34.641,⇒ x = +√1200 or -√1200 = 34.641 or -34.641.


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FAQs top top the Square root of 1200

What is the worth of the Square source of 1200?

The square source of 1200 is 34.64101.

Why is the Square root of 1200 an Irrational Number?

Upon element factorizing 1200 i.e. 24 × 31 × 52, 3 is in odd power. Therefore, the square source of 1200 is irrational.

What is the Square source of -1200?

The square source of -1200 is an imagine number. It deserve to be created as √-1200 = √-1 × √1200 = i √1200 = 34.641iwhere ns = √-1 and it is referred to as the imaginary unit.

What is the Square source of 1200 in most basic Radical Form?

We must express 1200 as the product that its prime factors i.e. 1200 = 2 × 2 × 2 × 2 × 3 × 5 × 5. Therefore, √1200 = √2 × 2 × 2 × 2 × 3 × 5 × 5 = 20 √3. Thus, the square source of 1200 in the lowest radical form is 20 √3.

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Evaluate 2 to add 17 square source 1200

The provided expression is 2 + 17 √1200. We know that the square source of 1200 is 34.641. Therefore, 2 + 17 √1200 = 2 + 17 × 34.641 = 2 + 588.897 = 590.897

Is the number 1200 a Perfect Square?

The element factorization of 1200 = 24 × 31 × 52. Here, the prime element 3 is not in the pair. Therefore, 1200 is not a perfect square.