55 is the tenth Fibonacci number. The is an odd composite number. The square source of 55 have the right to be written as55 raised to the power half. In this mini lesson, let us learn around the square source of 55, uncover out even if it is the square root of 55 is reasonable or irrational, and also see just how to uncover the square source of 55by long department method.

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Square root of 55:55 = 7.416Square of 55: 552 = 3025
1.What Is the Square root of 55?
2.Is Square source of 55 reasonable or Irrational?
3.How to discover the Square source of 55?
4.FAQs top top Square root of 55

It means thatthere is a number asuch that:a× a = 55.Now the can additionally be created as:a2 = 55 ⇒a = √55.a is the second root that 55 and a = +/-7.416

The square root of 55is one irrational number whereby the number after the decimal point go up to infinity.√55= 7.4161984871. √55 cannot be written in the type of p/q, for this reason it is one irrational number.


The square root of 55 or any number can be calculation in numerous ways. Two of them are the mean methodand the long department method.

Square root of 55 by average Method

Take 2 perfect square numbers, one of which isjust smaller sized than 55 and the various other just higher than 55. √49 7 division 55 by 8 or 7Let us divide through 8⇒ 55 ÷ 8 = 6. 87Find the mean of 6.87 and 8(6.87+8)/2 = 14.87 ÷ 2 = 7.435√55 ≈ 7.4

Square root of 55 through the Long division Method

The long division method helps usfind themore accurate value of square rootof any type of number. Let's see just how to uncover the square root of 55by the long department method.

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Step 1: Express 55 as 55.000000.We take it the number in pairsfrom the right. Take55 asthe dividend.Step 2: Now discover a quotient i beg your pardon is the same as the divisor. Multiply quotient and also the divisor and subtract the an outcome from 55.Step 3: Now twin the quotient derived in action 2. Here is 2 × 7 = 14. 140 i do not care the new divisor.Step 4:Apply decimal after quotient '7' andbring down 2 zeros. We have 600 together the dividend now.Step 5:We have to choosea number the while adding to140 andmultiplying the amount with the exact same number we obtain a number less than 600. 140+ 4 =144 and164× 4 = 576.Subtract 576from 600. We obtain 24.Step 6:Bring down the following pair that zeros.2400 is the new dividend.Double the quotient. Right here it is 148. Have it together 1480. Now uncover a number in ~ the unit's ar of 1480multiplied by itself offers 2400 or less. We uncover that 1481 × 1 = 1481. Discover the remainder.Step 6:Repeat the procedure until we get the remainder same to zero.The square root of 55 up to two locations is obtained by the long division method. Hence √55 = 7.416

Explore square roots making use of illustrations and also interactive examples.


The square root of any number have the right to be assumed come be in between the square source of the 2 nearest perfect squares of that number.For example, the square root of 55 lies between the square root of 49 and also 64.√49 The square root of 55 is√55 in the radical form, 55½in the exponential form, and also 7.416 in the decimal form.√55 is an irrational number.

Example 2:Ricky crease a square paper along the diagonal, and the diagonalmeasures √55. Whal will certainly be the measure up of the sides of the file to the nearest tenth?

Solution: The diagonal of a square is the line joining the contrary vertices of the square.

This diagonal creates the hypotenuse that the square together the ideal triangle is created on folding.

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side× next = diagonal

side2= diagonal

side=√55

side =7.416

side ≈ 7.4 inch





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Math will certainly no much longer be a challenging subject, specifically when you recognize the concepts through visualizations.