√ 78 lies between 8 and 9.
The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 3². Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number.
For example, √n = n^1/2, where n is a positive integer.
Given number : √ 78
Now, perform the prime factorization of √ 78
= √ 2*3*13
= √ 2* √ 3* √ 13
= 1.414*1.732*3.605
=8.8288
Hence, √ 78 lies between 8 and 9.
Learn more about square root here:
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