Question

find the square of a number without actual multiplication of 8.5​

Answer 1

Answer:

72.25

Step-by-step explanation:

85*85

=7225

put point before 2 number

therefore the answer is= 72.25

Answer 2

Divide the number (8.5) by 2 to get the first guess for the square root .

 First guess = 8.5/2 = 4.25.

Step 2:

 Divide 8.5 by the previous result. d = 8.5/4.25 = 2.

 Average this value (d) with that of step 1: (2 + 4.25)/2 = 3.125 (new guess).

 Error = new guess - previous value = 4.25 - 3.125 = 1.125.

 1.125 > 0.001. As error > accuracy, we repeat this step again.

Step 3:

 Divide 8.5 by the previous result. d = 8.5/3.125 = 2.72.

 Average this value (d) with that of step 2: (2.72 + 3.125)/2 = 2.9225 (new guess).

 Error = new guess - previous value = 3.125 - 2.9225 = 0.2025.

 0.2025 > 0.001. As error > accuracy, we repeat this step again.

Step 4:

 Divide 8.5 by the previous result. d = 8.5/2.9225 = 2.9084687767.

 Average this value (d) with that of step 3: (2.9084687767 + 2.9225)/2 = 2.9154843884 (new guess).

 Error = new guess - previous value = 2.9225 - 2.9154843884 = 0.0070156116.

 0.0070156116 > 0.001. As error > accuracy, we repeat this step again.

Step 5:

 Divide 8.5 by the previous result. d = 8.5/2.9154843884 = 2.9154675065.

 Average this value (d) with that of step 4: (2.9154675065 + 2.9154843884)/2 = 2.9154759475 (new guess).

 Error = new guess - previous value = 2.9154843884 - 2.9154759475 = 0.0000084409.

 0.0000084409 <= 0.001. As error <= accuracy, we stop the iterations and use 2.9154759475 as the square root.