The square root of 88 is expressed as √88 in the radical form and as (88)½ or (88)0.5 in the exponent form. The square root of 88 rounded up to 7 decimal places is 9.3808315. It is the positive solution of the equation x2 = 88. We can express the square root of 88 in its lowest radical form as 2 √22.

What Is the Square Root of 88?


√88 = ± 9.380√88 = 2√22 

Is Square Root of 88 Rational or Irrational?



How to Find the Square Root of 88?


The square root of 88 or any number can be calculated in many ways. Two of them are the approximation method and the long division method.

Square Root of 88 by Approximation Method

Square Root of 88 by the Long Division Method

The long division method helps us to find a more accurate value of square root of any number. Let"s see how to find the square root of by the long division method.

√88 = ± 9.380

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Explore Square roots using illustrations and interactive examples:


Important Notes



Challenging Questions



Example 1: Ron is trying to build a square tower with the blocks with the base of 44 blocks. He has so far raised the tower by 2 layers. How many more blocks does he need to complete the square tower?

Solution: 

Number of blocks × number of layers = total blocks44 × 2 = 88 blocks 88 = 2 × 2 × 2222 doesn"t have a pair. To complete the square, 22 should be multiplied with 88.88 × 22 = 2 × 2 × 22 × 22 = 19361936 blocks are needed to build the square tower which is the perfect square of 44. He needs build 44 layers of 44 blocks. He has used 88 blocks out of 1936 blocks. He needs 1848 more blocks.


Example 2: Evaluate: √88 ×√198

Solution:

√88 = √(2 × 2 × 2 × 11) = 2√22√198 = √(2× 3 × 3 × 11) = 3√22√88 ×√198 = 2√22 × 3√22 = 2 × 3 × √22 × √22= 6 ×22 = 132√88 ×√198 = 132


Example: If the area of a circle is 88π in2. Find the radius of the circle.

Solution:

Let "r" be the radius of the circle.⇒ Area of the circle = πr2 = 88π in2⇒ r = ±√88 inSince radius can"t be negative,⇒ r = √88The square root of 88 is 9.381.⇒ r = 9.381 in



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FAQs on the Square Root of 88

What is the Value of the Square Root of 88?

The square root of 88 is 9.38083.

Why is the Square Root of 88 an Irrational Number?

Upon prime factorizing 88 i.e. 23 × 111, 2 is in odd power. Therefore, the square root of 88 is irrational.

Is the number 88 a Perfect Square?

The prime factorization of 88 = 23 × 111. Here, the prime factor 2 is not in the pair. Therefore, 88 is not a perfect square.

Evaluate 4 plus 4 square root 88

The given expression is 4 + 4 √88. We know that the square root of 88 is 9.381. Therefore, 4 + 4 √88 = 4 + 4 × 9.381 = 4 + 37.523 = 41.523

What is the Square of the Square Root of 88?

The square of the square root of 88 is the number 88 itself i.e. (√88)2 = (88)2/2 = 88.

What is the Value of 13 square root 88?

The square root of 88 is 9.381. Therefore, 13 √88 = 13 × 9.381 = 121.951.