Answer:
5.34
Explanation:
Step 1:
First, we need to find the perfect square that is closest to but less than 27. The closest perfect square is 25 (5^2).
Step 2:
Now we need to divide the number we are trying to find the square root of (27) by the closest perfect square (25). In this case: 27/25 = 1.08
Step 3:
We can now find an approximate value for the square root of 27 by multiplying the closest perfect square (5) by the quotient obtained in step 2 (1.08). So, the approximate value of √27 is 5.40
Step 4:
In order to find a more accurate value of the square root, we can use the long division method.
Step 5:
We set up a long division problem with the dividend being 27 and the divisor being 5.
27 5
2 5
So, the quotient is 5 and the remainder is 2.
Step 6:
Now we bring down the next two digits (0) to get a new dividend of 20.
27 5
20
Step 7:
We divide 20 by 5 and get 4 as the quotient.
Step 8:
The final value of the square root of 27 is 5.4 (5 + 4/10)
Note: The process above is providing the approximate value of square root of 27, while the exact value of the square root of 27 is √27 = √(3^3) = 3.
That's why our answer is 5.34