Question

find the square root of 12.25

Answer 1

square root of 12.25 in 3.5
STEPS ARE AS FOLLOWS:-

Calculate the Square Root square root of 12.25

√12.2512.25

Determine the largest integer whose square is less than or equal to 1212.

33√1122.2255

Square the value above the line and place it under the term like in a long division problem.

33√1122.225599

Subtract 99 from 1212.

33√1122.22559933

Bring down the next two digits of the radicand.

33√1122.225599332255

Double the number above the radicand (2⋅3=6)(2⋅3=6) and write it down followed by a blank space (n)(n), inside parentheses. Then, multiply it by nn.

33√1122.225599332255  (66nn)·nn

Find the largest integer value that could replace the nn and be placed in the next position above the radical so when the two numbers are multiplied it is less than the current remainder of 325325. In this case 55 works because 65⋅5=32565⋅5=325, which is less than 325325.

3355√1122.225599332255  (6655)·55

Multiply the last digit above the radical (5)(5) by the number inside the parentheses (325)(325) and insert the product under the last term.

3355√1122.225599332255332255 (6655)·55

Subtract 325325 from 325325.

3355√1122.225599332255332255 (6655)·5500

Since there are 11 pair of numbers to the left of the decimal place in 12.2512.25, the decimal of the answer is put 11place from the left side of the answer.

3.5