Squares and also square roots are special exponents. When the exponent on the number is 2, it is termed as square and when the exponent is ½ it is called a square root of a number. Let"s watch just how to discover the square root of 56 and likewise find exciting facts about them. Think of a number that provides 56 on squaring? n² = 56. What can be n? In this mini lesson, let us learn about the square root of 56, uncover out whether the square root of 56 is rational or irrational, and check out how to uncover the square root of 56 by long division technique. 

Square Root of 5656 = 7.483Square of 56: 562 = 3136
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You are watching: Square root of 56 in radical form

What Is the Square Root of 56?
2.Is Square Root of 56 Rational or Irrational?
3.How to Find the Square Root of 56?
4.Tips And Tricks
5.FAQs on Square Root of 56
6.Important Notes on Square Root of 56

What Is the Square Root of 56?


The square root of any type of number n can be created as √n. It suggests then there is a number a such that: a × a = n. Now it have the right to likewise be composed as: a2 = n. a = √n. a is the 2nd root of n. Now, if n = 56, then a = √56 is the square root of 56. In the radical develop, the square root of 56 deserve to be stood for by √56. The easiest radical develop of square root of 56 is√56 = √(4 × 14) = 2 √14.


Is Square Root of 56 Rational or Irrational?


The square root of 56 is an irrational number where the numbers after the decimal point go approximately infinity. √56 = 7.483314....The square root of 56 have the right to not be composed in the develop of p/q, for this reason it is an irrational number. Only the square root of numbers which are perfect squares like, 9, 16, 25, 100 are rational numbers, but the square root of numbers which are not a perfect square is irrational via never-ending digits. The square root of any number has actually two worths, one is positive and also the other is negative. So, √56 = + 7.483314 and - 7.483314


How to Find the Square Root of 56?


The square root of 56 or any type of number have the right to be calculated in many type of ways. Two of them are approximation (hit and also trial) and the long department strategy. Let"s view just how to discover 56 by the approximation method:

Take two perfect square numbers which are simply smaller sized than 56 and just better than 56. √49 7 Multiply the inequality by 1070 √ 4900 Move even more closer to the inequality √ 5476 74 Divide both sides by 107.4 Take the average of both reduced and top boundaries.√56 ≈ (7.4 + 7.5) / 2√56 ≈ 7.45

Square Root of 56 by Long Division Method

The long department approach helps us to find a more precise worth of square roots of any number.

Let"s check out exactly how to find the square root of 56 by the lengthy department technique.

Tip 1: Divide the number 56 by 7 (because 72 = 49 is a perfect square number simply less than 56)Tip 2: Take the exact same number as quotient which is the divisor, 7. multiply quotient and the divisor and also subtract the result from 56Tip 3: Take the exact same quotient "7" and also add with the divisor "7".Tip 4: Apply decimal after quotient "7" and bring dvery own two zeros and area it after 7 so that it becomes 700. We have to take a number that when placing it at the finish of 14 and multiplying the result via the same number we acquire a number much less than 700. 144 × 4 = 576. Subtract 576 from 700. 700 - 576 = 124Step 5: Bring dvery own 2 zeros aget and also area it after 124, so that it becomes 12400. Take 4 and also add it to 144. 144 + 4 = 148. We must take a number that as soon as placing it at the finish of 148 and multiplying the result with the very same number we gain a number less than 12400. 1488 × 8 = 11904. Write the same number after 4 in the quotient. Subtract 11904 from 12400. 12400 - 11904 = 496. Step 6: Repeat the process until we get the remainder equal to zero. The square root of 56 up to 2 places is acquired by the long department strategy.

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Tips and Tricks


The square root of any number deserve to be assumed to be in between the square root of two nearemainder perfect squares of that number. For example, the square root of 56 lies between the square root of 49 and 64√49 The square root of 56 is 7.483 approximated to 3 decimal areas.The simplified form of √56 in its radical form is 2√1456 is an irrational number.