The square source of 720 is expressed as √720 in the radical form and as (720)½ or (720)0.5 in the exponent form. The square source of 720 rounded approximately 6 decimal locations is 26.832816. It is the hopeful solution the the equation x2 = 720. We deserve to express the square source of 720 in its shortest radical type as 12 √5.

You are watching: What is the square root of 720

Square root of 720: 26.832815729997478Square source of 720 in exponential form: (720)½ or (720)0.5Square root of 720 in radical form: √720 or 12 √5

*

1.What is the Square source of 720?
2.How to discover the Square source of 720?
3.Is the Square root of 720 Irrational?
4.FAQs

What is the Square source of 720?


The square source of 720, (or root 720), is the number which as soon as multiplied through itself offers the product as 720. Therefore, the square source of 720 = √720 = 12 √5 = 26.832815729997478.

☛ Check: Square source Calculator


How to discover Square root of 720?


*

Value the √720 by Long division Method

Explanation:

Forming pairs: 07 and also 20Find a number Y (2) such that whose square is bring down the next pair 20, to the appropriate of the remainder 3. The new dividend is currently 320.Add the last digit that the quotient (2) to the divisor (2) i.e. 2 + 2 = 4. Come the right of 4, uncover a number Z (which is 6) such that 4Z × Z divide 320 by 46 v the quotient as 6, offering the remainder = 320 - 46 × 6 = 320 - 276 = 44.Now, let"s uncover the decimal places after the quotient 26.Bring under 00 to the best of this remainder 44. The brand-new dividend is now 4400.Add the last digit of quotient to divisor i.e. 6 + 46 = 52. Come the ideal of 52, discover a digit Z (which is 8) such the 52Z × Z division 4400 through 528 through the quotient together 8, giving the remainder = 4400 - 528 × 8 = 4400 - 4224 = 176.Bring down 00 again. Repeat above steps because that finding more decimal areas for the square root of 720.

Therefore, the square source of 720 through long division method is 26.8 approx.


Is Square source of 720 Irrational?


The actual value of √720 is undetermined. The value of √720 approximately 25 decimal locations is 26.83281572999747635691008. Hence, the square source of 720 is an irrational number.

☛ also Check:


Square root of 720 fixed Examples


Example 1: settle the equation x2 − 720 = 0

Solution:

x2 - 720 = 0 i.e. X2 = 720x = ±√720Since the value of the square root of 720 is 26.833,⇒ x = +√720 or -√720 = 26.833 or -26.833.


Example 2: If the area the a circle is 720π in2. Find the radius the the circle.

Solution:

Let "r" it is in the radius that the circle.⇒ Area the the circle = πr2 = 720π in2⇒ r = ±√720 inSince radius can"t be negative,⇒ r = √720The square root of 720 is 26.833.⇒ r = 26.833 in


Show solution >

go come slidego come slidego to slide


 

*


Ready to check out the civilization through math’s eyes?
Math is in ~ the main point of whatever we do. Gain solving real-world math problems in live classes and become an expert at everything. 

Book a complimentary Trial Class


FAQs ~ above the Square root of 720

What is the worth of the Square root of 720?

The square source of 720 is 26.83281.

Why is the Square root of 720 an Irrational Number?

Upon prime factorizing 720 i.e. 24 × 32 × 51, 5 is in strange power. Therefore, the square root of 720 is irrational.

If the Square root of 720 is 26.833. Find the worth of the Square source of 7.2.

Let us stand for √7.2 in p/q form i.e. √(720/100) = 7.2/10 = 2.683. Hence, the value of √7.2 = 2.683

Evaluate 4 to add 6 square source 720

The offered expression is 4 + 6 √720. We know that the square root of 720 is 26.833. Therefore, 4 + 6 √720 = 4 + 6 × 26.833 = 4 + 160.997 = 164.997

Is the number 720 a Perfect Square?

The prime factorization the 720 = 24 × 32 × 51. Here, the prime element 5 is no in the pair. Therefore, 720 is not a perfect square.

See more: An Important Principle Scientists Follow To Determine Ancient Climates Is: A

What is the Square root of -720?

The square source of -720 is an imaginary number. It have the right to be composed as √-720 = √-1 × √720 = i √720 = 26.832iwhere ns = √-1 and it is dubbed the imaginary unit.