Question

Square root of 59? Please leave an explanation/steps because when I search this question, all the answers have no explanation..

Answer 1

decimal form is 7.6811. in rational exponents is 59 1/2

Answer 2

Answer:

7.681

Step-by-step explanation:

Step 1: Starting from the right, we will pair up the digits 59 by putting a bar above them. We also pair the 0s in decimals in pairs of 2 from left to right.

Step 2: Think of a number whose square is less than or equal to 59. In this case, that number would be 7.

Step 3: Dividing by 59 by 7 with quotient set as 7, we get a remainder of 10.  

Step 4: Drag a pair of 0’s down and fill it next to the remainder to make it 1000.  

Step 5: The divisor, in this case 7 is doubled and written below. Now, we have 14X as the new divisor, and we need to find a value of X that makes the product of 14X × X less than or equal to 1000. In this case, 146 is the required value

Step 6: The number 6 is placed in the quotient after a decimal place. The new divisor for the next division will be 146 + 6 = 152.

Proceeding in the same manner and repeating from step 4, we can calculate the rest of the decimals.