Question

Find the positive square root of 0.00822649

Answer 1

Answer:

Step-by-step explanation: Although you did not specify, perhaps your were supposed to find some way to do this without a calculator. First ignore the decimals and think about 822649

900 * 900 = 810000 so the first digit of the square root is a 9

The last two numbers are 49 so the square root ends in a 7

Assume the square root is 9a7 where a is not known and expand

(907 + 10a)^2 = 822649 + other terms in a = 822649

a = 0, and we have found 822649 = 907 ^2

0.00822649 is obtained from 822649 by moving the decimal point 8 places

That tells us the square root is obtained from by moving 4 places

The answer is 0.0907......