Squares and square roots space special exponents. Once the exponent on the number is 2, the is termed together square and also when the exponent is ½ that is referred to as a square root of a number. Let"s see how to uncover the square root of 56 and additionally discover interesting facts approximately them. Think of a number that gives 56 on squaring? n² = 56. What can be n? In this mini lesson, let united state learn around the square root of 56, discover out whether the square source of 56 is reasonable or irrational, and see exactly how to find the square root of 56 by long division method. 

Square root of 5656 = 7.483Square that 56: 562 = 3136
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You are watching: What is the square root of 56

What Is the Square source of 56?
2.Is Square source of 56 rational or Irrational?
3.How to discover the Square root of 56?
4.Tips and Tricks
5.FAQs ~ above Square root of 56
6.Important notes on Square source of 56

What Is the Square source of 56?


The square root of any number n have the right to be created as √n. It means then over there is a number a such that: a × a = n. Now the can likewise be written as: a2 = n. a = √n. A is the second root of n. Now, if n = 56, climate a = √56 is the square source of 56. In the radical form, the square source of 56 can be represented by √56. The easiest radical type of square source of 56 is√56 = √(4 × 14) = 2 √14.


Is Square source of 56 rational or Irrational?


The square source of 56 is an irrational number whereby the numbers after the decimal point go as much as infinity. √56 = 7.483314....The square root of 56 can not be written in the type of p/q, therefore it is an irrational number. Just the square root of number which room perfect squares like, 9, 16, 25, 100 room rational numbers, but the square source of numbers which space not a perfect square is irrational v never-ending digits. The square source of any number has two values, one is positive and also the various other is negative. So, √56 = + 7.483314 and also - 7.483314


How to uncover the Square source of 56?


The square root of 56 or any type of number have the right to be calculation in countless ways. 2 of them are approximation (hit and trial) and the long department method. Let"s see just how to find 56 by the approximation method:

Take two perfect square number which are just smaller 보다 56 and just better than 56. √49 7 multiply the inequality by 1070 √ 4900 Move much more closer to the inequality √ 5476 74 division both sides by 107.4 take the typical of both lower and upper limits.√56 ≈ (7.4 + 7.5) / 2√56 ≈ 7.45

Square root of 56 through Long division Method

The long division method helps us to discover a much more accurate worth of square root of any kind of number.

Let"s see exactly how to find the square root of 56 by the long division method.

Step 1: Divide the number 56 by 7 (because 72 = 49 is a perfect square number just less than 56)Step 2: Take the same number as quotient which is the divisor, 7. Main point quotient and the divisor and also subtract the an outcome from 56Step 3: Take the same quotient "7" and include with the divisor "7".Step 4: Apply decimal after ~ quotient "7" and bring down 2 zeros and place that after 7 so the it becomes 700. We should take a number that as soon as placing it at the finish of 14 and multiplying the result with the very same number we obtain a number less than 700. 144 × 4 = 576. Subtract 576 indigenous 700. 700 - 576 = 124Step 5: Bring down two zeros again and place it after 124, so the it i do not care 12400. Take 4 and add it come 144. 144 + 4 = 148. We must take a number that once placing it at the end of 148 and multiplying the result with the very same number we get a number less than 12400. 1488 × 8 = 11904. Write the exact same number after 4 in the quotient. Subtract 11904 from 12400. 12400 - 11904 = 496. Step 6: Repeat the procedure until we gain the remainder same to zero. The square source of 56 as much as two places is obtained by the long department method.

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Tips and Tricks


The square root of any number have the right to be assumed to be between the square root of 2 nearest perfect squares of the number. For example, the square root of 56 lies between the square root of 49 and also 64√49 The square root of 56 is 7.483 approximated come 3 decimal places.The simplified form of √56 in that is radical form is 2√1456 is an irrational number.