Question

can u explain extracting the square root?

Answer 1

Omit the digit next the last digit.
Find the square root of its left extremities. If it is not a perfect square, find the lower highest perfect square.
Find the square root of right extremity. If it is not a perfect square, keep it as it is. Write it down and subtract this finding from 10. Write the result down too.
Write the findings from step-2 twice. Once before the square root of right digit and secondly before the number found after subtracting that from 10. Now, there are 2 possible answers one greater and one smaller; both with the same tens digit.
To find the right answer, multiply the square root of left extremities with its successor. If left extremities are equal or greater than the product, the right answer would be the greater option and if left extremities are less than the product, the right answer would be the smaller option.
That’s it. It’s so simple!


Let us illustrate the method with some examples:

Answer 2

how about (x-1)^2-9=0

Answer 3

Extracting square root of 441 (√441)

Skip the digit next the last digit which is 4 (√4x1)
Square root of left extremity i.e. 4 is 2
Square root of right extremity i.e. 1 is 1, And 10 minus 1 is 9.
Write down 2 as tens digit with both 1 and 9 to get 2 possible answers (21 and 29)
Now, 2 times its successor which is 3 (2x3) is 6. The left extremity which is 4 is less than 6. Therefore, the right answer must be the smaller option which is 21

Answer 4

is this helpful to you

Answer 5

yeah

Answer 6

a bit confusing but is helpful

Answer 7

can I work it out and then can you check it

Answer 8

why not

Answer 9

ok thanks

Answer 10

no problem dear

Answer 11

its #2

Answer 12

Let’s try another example: √784 (square root of 784)
Skip the digit next the last digit which is 8 (√7x4)
Square root of left extremity which is 7 is…. Well, 7 is not a perfect square. So, consider the lower highest perfect square which is 4. Square root of 4 is 2.
Square root of right extremity which is 4 is 2, and 10 minus 2 is 8.
Write 2 as tens digit with both 2 and 8 to get 2 possible answers (22 and 28)
Now, 2 times its successor which is 3 (2x3) is 6. The left extremity which is 7 is greater than 6. Therefore, the right answer must be the greater option which is 28.

Answer 13

was my answer correct though?

Answer 14

not correct one?????

Answer 15

it was wrong ?