Question

16 a.)Vivian approximated the square root of 15. What is the value of the square root of 15 to the nearest whole number? Show or explain how you got your answer.

Answer 1

3.872

Step-by-step explanation

Given:

A number 15

Desired Outcome:

Square root of the number

Square root of 15

Step 1:

Starting on the right, we'll put a bar above the digits to match them together.

Step 2:

Find a number that when multiplied by itself produces a result that is less than or equal to 15 and close to 15. So the answer is three. Using 3 as the divisor, we get 3 as the quotient (same as the divisor), and 6 as the remainder.

Step 3:

Enter the divisor twice with a blank on the right. Choose the largest possible digit to fill in the blank, which will become the new digit in the quotient, so that the resultant product is less than or equal to the dividend when the new divisor is multiplied by the new quotient. Divide the leftover and write it down. Repeat this method until you get the desired number of decimal places.

Hence, the square root of 15 is 3.872