The square source of 5000 is expressed together √5000 in the radical kind and together (5000)½ or (5000)0.5 in the exponent form. The square root of 5000 rounded as much as 5 decimal places is 70.71068. That is the positive solution of the equation x2 = 5000. We deserve to express the square root of 5000 in its shortest radical kind as 50 √2.

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Square root of 5000: 70.71067811865476Square source of 5000 in exponential form: (5000)½ or (5000)0.5Square source of 5000 in radical form: √5000 or 50 √2

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1.What is the Square root of 5000?
2.How to discover the Square source of 5000?
3.Is the Square root of 5000 Irrational?
4.FAQs

The square source of 5000, (or root 5000), is the number which once multiplied by itself provides the product as 5000. Therefore, the square source of 5000 = √5000 = 50 √2 = 70.71067811865476.

☛ Check: Square root Calculator


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Value the √5000 through Long division Method

Explanation:

Forming pairs: 50 and also 00Find a number Y (7) such the whose square is lug down the next pair 00, to the appropriate of the remainder 1. The new dividend is currently 100.Add the critical digit of the quotient (7) come the divisor (7) i.e. 7 + 7 = 14. Come the right of 14, find a number Z (which is 0) such the 14Z × Z divide 100 through 140 v the quotient as 0, offering the remainder = 100 - 140 × 0 = 100 - 0 = 100.Now, let"s uncover the decimal places after the quotient 70.Bring down 00 come the best of this remainder 100. The brand-new dividend is currently 10000.Add the last digit that quotient to divisor i.e. 0 + 140 = 140. To the ideal of 140, discover a digit Z (which is 7) such that 140Z × Z division 10000 through 1407 through the quotient as 7, offering the remainder = 10000 - 1407 × 7 = 10000 - 9849 = 151.Bring under 00 again. Repeat above steps for finding more decimal places for the square root of 5000.

Therefore, the square root of 5000 through long division method is 70.7 approximately.


The actual value of √5000 is undetermined. The value of √5000 approximately 25 decimal areas is 70.71067811865475244008444. Hence, the square source of 5000 is one irrational number.

☛ additionally Check:


Example 1: deal with the equation x2 − 5000 = 0

Solution:

x2 - 5000 = 0 i.e. X2 = 5000x = ±√5000Since the value of the square root of 5000 is 70.711,⇒ x = +√5000 or -√5000 = 70.711 or -70.711.


Example 3: If the area that a one is 5000π in2. Uncover the radius of the circle.

Solution:

Let "r" be the radius that the circle.⇒ Area the the circle = πr2 = 5000π in2⇒ r = ±√5000 inSince radius can"t it is in negative,⇒ r = √5000The square root of 5000 is 70.711.⇒ r = 70.711 in


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FAQs top top the Square source of 5000

What is the value of the Square source of 5000?

The square root of 5000 is 70.71067.

Why is the Square root of 5000 an Irrational Number?

Upon prime factorizing 5000 i.e. 23 × 54, 2 is in strange power. Therefore, the square source of 5000 is irrational.

What is the Square root of -5000?

The square root of -5000 is an imagine number. It deserve to be written as √-5000 = √-1 × √5000 = i √5000 = 70.71iwhere i = √-1 and it is referred to as the imaginary unit.

What is the Square of the Square root of 5000?

The square of the square root of 5000 is the number 5000 itself i.e. (√5000)2 = (5000)2/2 = 5000.

If the Square root of 5000 is 70.711. Find the worth of the Square root of 50.

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Let us represent √50 in p/q kind i.e. √(5000/100) = 50/10 = 7.071. Hence, the worth of √50.0 = 7.071

What is the value of 8 square root 5000?

The square source of 5000 is 70.711. Therefore, 8 √5000 = 8 × 70.711 = 565.685.