676 can be obtained by squaring 26. Hence, it is a perfect square number. Hence, the square root of 676 is a rational number. In this mini-lesson we will discover to find square source of 676 along with addressed examples. Let us see what the square source of 676 is.

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Square root of 676676 = 26Square of 676: 6762 = 4,56,976
1.What Is the Square root of 676?
2.Is Square root of 676 rational or Irrational?
3.How to find the Square source of 676?
4.Important Notes
5.Thinking out of the Box!
6.FAQs top top Square source of 676

What Is the Square source of 676?

The number whose square is 676 is 26. Hence, the square root of 676 is 26. It is composed as

676 = 26

The answer which is obtained on squaring 26 is 676. Hence, 676 is a perfect square.

Is the Square source of 676 rational or Irrational?

As 676 is 676 = 26, it is feasible to express 676 in p/q kind easily. This makes 676 a rational number. 

How to find the Square source of 676?

There room different methods come determine the square root of any kind of number. Click here to know much more about it. We can determine the square root of 676 using two methods:

Square root of 676 by long DivisionSquare root of 676 by prime Factorization

Square source of 676 by long Division

The square source of 676 can be uncovered using the long department as follows.

Step 1: we pair number of a provided number beginning with a digit at one"s place. Placed a horizontal bar to indicate pairing.Step 2: Now we find a number i beg your pardon on multiplication with itself provides a product less than or same to 6. Together we understand 2 × 2 = 4 Step 3: Now, we have actually to carry down 00 and multiply the quotient by 2. This give united state 4. Hence, 4 is the starting digit of the new divisor.Step 4: 6 is placed at one"s place of new divisor because when 46 is multiply by 6 we acquire 276. The obtained answer now is 0. Currently the new divisor obtained is 52.Step 5: Hence, the square source of 676 is 26.


Square root of 676 by element Factorization

676 is a perfect square hence, us can also express it as (2 × 2 × 13 × 13). The numbers in ~ square source which get repeated space 2 and 13. Hence, the square root of 676 is 2 × 13 = 26 .


The square source of 676 is 26.

Explore square roots using illustrations and also interactive examples

Important Notes:

676 is a perfect square as the value derived after acquisition its square root is a totality number.The square source of 676 have the right to be simplified to 26 either by utilizing the element factorization that 676 or by to express 676 as a square the 26.

Think Tank:

Can the worth of a square source of 676 be decimal?Are -676 and -676 same? 

Example 1: can you determine the difference in lengths that square boxes having actually area 676 square inches and also 576 square inches?


As the area that square box is area = length × lengthThe length of square box having area 676 square inch is √676 = 26 inches. Similarly, the length of box having actually area 576 square customs is √576 = 24 inches.The distinction in lengths of crate is (26 - 24) inch = 2 inches

Hence, the distinction in length of square boxes having actually area 676 square inches and also 576 square inches is 2 inches.

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Example 2: will certainly the radius of circle having actually area 676π square inches have actually length the radius much less than 30 inch or more than 30 inches?


Radius can be found using the formula of area that a one is πr2 square inches. Through the offered information,

πr2 = 676π r2 = 676

By acquisition the square root on both sides we get, √r2= 676. We recognize that the square source of r2 is r. By calculating the square source of 676 is 26 inches. Hence, the radius of circle having area 676π square inch will have length of radius less than 30 inches.