Find The Square Root Of 6400 By Using Prime Factorization...

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Calculate the Square Root square root of 6400.- How to Calculate Square Root of 6400 using Prime Factorization and Long Division Method, FAQs, Tricks, Solved Examples, and more. Why is the Square Root of 6400 a Rational Number? Upon prime factorizing 6400 i.e. 28 × 52, we find that all the prime factors are in even power.Squares, Cubes and Roots - Numbers - squares, cubes, square roots and cube roots. Trigonometric Functions - Sine, Cosine and Tangent - Natural Trigonometric Functions. Two Equations with Two Unknowns - Online calculator for two equations with two unknowns.Learn how to find Square Root of a number.Know the Square root tricks and Square root shortcuts for four and five digit numbers in this article. How To Find Square Root of a Number - Learn Square Root Tricks Here! Naveen | Updated: May 20, 2020 19:00 IST.

What is the Square Root of 6400?

Question From - NCERT Maths Class 8 Chapter 6 SOLVED EXAMPLES Question - 4 SQUARES AND SQUARE ROOTS CBSE, RBSE, UP, MP, BIHAR BOARD. QUESTION TEXT:- Find the square root of 6400.Click hereto get an answer to your question Find the square root of 6400.The Square Root Calculator will find the square root of the number you enter. Related Topic How to calculate square roots without a calculator.Math and Arithmetic. What is the square root 6400? Asked by Wiki User. If that is a hyphen the answer is 80. if it is a minus sign the answer is 80i where i is the square root of minus 1.(80*80 = 6400). The nearest previous perfect square is 6241 and the nearest next perfect square is 6561 .

The square root of 6400 is expressed as √6400 within the radical form and as (6400)½ or (6400)0.5 within the exponent shape. The square root of 6400 is 80. It is the sure answer of the equation x2 = 6400. The quantity 6400 is an ideal square.

Square Root of 6400: 80 Square Root of 6400 in exponential shape: (6400)½ or (6400)0.5 Square Root of 6400 in radical form: √6400

What is the Square Root of 6400?

The square root of 6400, (or root 6400), is the quantity which when multiplied on its own offers the product as 6400. Therefore, the square root of 6400 = √6400 = 80.

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How to Find Square Root of 6400?

Value of √6400 by way of Long Division Method

Explanation:

Forming pairs: Sixty four and 00 Find a host Y (8) such that whose square is <= 64. Now divide 64 via Eight with quotient as 8. Bring down the following pair 00, to the appropriate of the remainder 0. The new dividend is now 0. Add the remaining digit of the quotient (8) to the divisor (8) i.e. 8 + 8 = 16. To the fitting of 16, discover a digit Z (which is 0) such that 16Z × Z <= 0. After finding Z, together Sixteen and Z (0) shape a new divisor One hundred sixty for the new dividend 0. Divide Zero via 160 with the quotient as 0, giving the remaining = 0 - 160 × 0 = 0 - 0 = 0. We stop the process for the reason that remainder is now 0 and there are not more digits that may be introduced down.

Therefore, the square root of 6400 through long department means is 80.

Is Square Root of 6400 Rational?

The price of √6400 is 80. Hence, the square root of 6400 is a rational quantity.

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Square Root of 6400 Solved Examples

Example 1: Solve the equation x2 − 6400 = 0

Solution:

x2 - 6400 = Zero i.e. x2 = 6400 x = ±√6400 Since the price of the square root of 6400 is 80, ⇒ x = +√6400 or -√6400 = 80 or -80.

Example 2: If the realm of a circle is 6400π in2. Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle. ⇒ Area of the circle = πr2 = 6400π in2 ⇒ r = ±√6400 in Since radius can't be damaging, ⇒ r = √6400 Square root of 6400 is 80. ⇒ r = 80 in

Example 3: If the skin space of a sphere is 25600π in2. Find the radius of the sphere.

Solution:

Let 'r' be the radius of the sphere. ⇒ Area of the sphere = 4πr2 = 25600π in2 ⇒ r = ±√6400 in Since radius can't be unfavourable, ⇒ r = √6400 The square root of 6400 is 80. ⇒ r = 80 in

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FAQs on the Square Root of 6400

What is the Value of the Square Root of 6400?

The square root of 6400 is 80.

Why is the Square Root of 6400 a Rational Number?

Upon prime factorizing 6400 i.e. 28 × 52, we find that the entire top factors are in even power. This means that the square root of 6400 is a positive integer. Therefore, the square root of 6400 is rational.

Is the quantity 6400 a Perfect Square?

The prime factorization of 6400 = 28 × 52. Here, all the numbers are within the energy of 2. This means that the square root of 6400 is a favorable integer. Therefore, 6400 is an ideal square.

What is the Square Root of -6400?

The square root of -6400 is an imaginary quantity. It may also be written as √-6400 = √-1 × √6400 = i √6400 = 80i where i = √-1 and it is known as the imaginary unit.

What is the Value of 18 square root 6400?

The square root of 6400 is 80. Therefore, 18 √6400 = 18 × 80 = 1440.

What is the Square of the Square Root of 6400?

The square of the square root of 6400 is the number 6400 itself i.e. (√6400)2 = (6400)2/2 = 6400.

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