The square source of 725 is expressed as √725 in the radical form and as (725)½ or (725)0.5 in the exponent form. The square source of 725 rounded up to 7 decimal places is 26.9258240. It is the hopeful solution the the equation x2 = 725. We have the right to express the square root of 725 in its shortest radical type as 5 √29.

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Square root of 725: 26.92582403567252Square source of 725 in exponential form: (725)½ or (725)0.5Square source of 725 in radical form: √725 or 5 √29

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1.What is the Square root of 725?
2.How to uncover the Square source of 725?
3.Is the Square root of 725 Irrational?
4.FAQs

The square source of 725, (or root 725), is the number which as soon as multiplied by itself provides the product as 725. Therefore, the square root of 725 = √725 = 5 √29 = 26.92582403567252.

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Value the √725 by Long division Method

Explanation:

Forming pairs: 07 and also 25Find a number Y (2) such the whose square is lug down the following pair 25, come the right of the remainder 3. The brand-new dividend is now 325.Add the last digit that the quotient (2) come the divisor (2) i.e. 2 + 2 = 4. Come the ideal of 4, find a digit Z (which is 6) such that 4Z × Z division 325 by 46 through the quotient as 6, giving the remainder = 325 - 46 × 6 = 325 - 276 = 49.Now, let's discover the decimal places after the quotient 26.Bring down 00 come the right of this remainder 49. The new dividend is currently 4900.Add the critical digit of quotient to divisor i.e. 6 + 46 = 52. To the ideal of 52, discover a digit Z (which is 9) such the 52Z × Z divide 4900 by 529 with the quotient together 9, providing the remainder = 4900 - 529 × 9 = 4900 - 4761 = 139.Bring under 00 again. Repeat above steps because that finding more decimal places for the square source of 725.

Therefore, the square root of 725 through long division method is 26.9 approximately.


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Example 1: settle the equation x2 − 725 = 0

Solution:

x2 - 725 = 0 i.e. X2 = 725x = ±√725Since the worth of the square source of 725 is 26.926,⇒ x = +√725 or -√725 = 26.926 or -26.926.


Example 3: If the area that a circle is 725π in2. Uncover the radius that the circle.

Solution:

Let 'r' it is in the radius the the circle.⇒ Area the the circle = πr2 = 725π in2⇒ r = ±√725 inSince radius can't it is in negative,⇒ r = √725The square root of 725 is 26.926.⇒ r = 26.926 in


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FAQs top top the Square source of 725

What is the worth of the Square source of 725?

The square root of 725 is 26.92582.

Why is the Square root of 725 one Irrational Number?

Upon prime factorizing 725 i.e. 52 × 291, 29 is in strange power. Therefore, the square root of 725 is irrational.

Evaluate 2 plus 11 square source 725

The provided expression is 2 + 11 √725. We understand that the square root of 725 is 26.926. Therefore, 2 + 11 √725 = 2 + 11 × 26.926 = 2 + 296.184 = 298.184

What is the Square source of 725 in most basic Radical Form?

We need to express 725 as the product that its prime factors i.e. 725 = 5 × 5 × 29. Therefore, √725 = √5 × 5 × 29 = 5 √29. Thus, the square source of 725 in the shortest radical type is 5 √29.

Is the number 725 a Perfect Square?

The element factorization that 725 = 52 × 291. Here, the prime aspect 29 is not in the pair. Therefore, 725 is not a perfect square.

See more: A Device That Converts Electrical Energy Into Mechanical Energy

What is the Square of the Square source of 725?

The square the the square root of 725 is the number 725 itself i.e. (√725)2 = (725)2/2 = 725.