The square root of 1400 is expressed as √1400 in the radical form and together (1400)½ or (1400)0.5 in the exponent form. The square source of 1400 rounded approximately 9 decimal locations is 37.416573868. The is the positive solution that the equation x2 = 1400. We deserve to express the square source of 1400 in its shortest radical form as 10 √14.

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Square root of 1400: 37.416573867739416Square source of 1400 in exponential form: (1400)½ or (1400)0.5Square source of 1400 in radical form: √1400 or 10 √14 1 What is the Square source of 1400? 2 How to find the Square source of 1400? 3 Is the Square source of 1400 Irrational? 4 FAQs

What is the Square root of 1400?

The square root of 1400, (or source 1400), is the number which as soon as multiplied through itself provides the product together 1400. Therefore, the square source of 1400 = √1400 = 10 √14 = 37.416573867739416.

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How to uncover Square root of 1400? Value of √1400 through Long division Method

Explanation:

Forming pairs: 14 and 00Find a number Y (3) such the whose square is carry down the following pair 00, come the right of the remainder 5. The brand-new dividend is now 500.Add the critical digit of the quotient (3) come the divisor (3) i.e. 3 + 3 = 6. To the ideal of 6, uncover a digit Z (which is 7) such that 6Z × Z divide 500 through 67 through the quotient together 7, providing the remainder = 500 - 67 × 7 = 500 - 469 = 31.Now, let"s find the decimal places after the quotient 37.Bring under 00 to the right of this remainder 31. The brand-new dividend is currently 3100.Add the critical digit the quotient come divisor i.e. 7 + 67 = 74. To the best of 74, uncover a digit Z (which is 4) such the 74Z × Z divide 3100 by 744 v the quotient together 4, giving the remainder = 3100 - 744 × 4 = 3100 - 2976 = 124.Bring down 00 again. Repeat above steps for finding much more decimal areas for the square source of 1400.

Therefore, the square source of 1400 through long division method is 37.4 approx.

Is Square root of 1400 Irrational?

The actual worth of √1400 is undetermined. The value of √1400 up to 25 decimal places is 37.41657386773941385583749. Hence, the square source of 1400 is one irrational number.

Square root of 1400 fixed Examples

Example 1: resolve the equation x2 − 1400 = 0

Solution:

x2 - 1400 = 0 i.e. X2 = 1400x = ±√1400Since the worth of the square source of 1400 is 37.417,⇒ x = +√1400 or -√1400 = 37.417 or -37.417.

Example 2: If the area of a circle is 1400π in2. Uncover the radius that the circle.

Solution:

Let "r" be the radius of the circle.⇒ Area that the circle = πr2 = 1400π in2⇒ r = ±√1400 inSince radius can"t it is in negative,⇒ r = √1400The square root of 1400 is 37.417.⇒ r = 37.417 in

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FAQs on the Square root of 1400

What is the value of the Square source of 1400?

The square source of 1400 is 37.41657.

Why is the Square root of 1400 one Irrational Number?

Upon prime factorizing 1400 i.e. 23 × 52 × 71, 2 is in strange power. Therefore, the square root of 1400 is irrational.

What is the Square root of 1400 in easiest Radical Form?

We need to express 1400 together the product the its prime factors i.e. 1400 = 2 × 2 × 2 × 5 × 5 × 7. Therefore, √1400 = √2 × 2 × 2 × 5 × 5 × 7 = 10 √14. Thus, the square source of 1400 in the shortest radical type is 10 √14.

Evaluate 10 add to 9 square source 1400

The given expression is 10 + 9 √1400. We understand that the square root of 1400 is 37.417. Therefore, 10 + 9 √1400 = 10 + 9 × 37.417 = 10 + 336.749 = 346.749

What is the Square that the Square root of 1400?

The square of the square source of 1400 is the number 1400 itself i.e. (√1400)2 = (1400)2/2 = 1400.

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If the Square source of 1400 is 37.417. Discover the worth of the Square root of 14.

Let us stand for √14 in p/q form i.e. √(1400/100) = 14/10 = 3.742. Hence, the worth of √14.0 = 3.742