Question

Evaluate 3 upto 2 places of decimal.​

Answer 1

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³/2 = 3 ÷ 2 = 1.5

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Answer 2

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$\sqrt{3} = 1.73$

Step 1: we place a dot and zeros (number of zero depends upon places upto which square root is to be found)

Step 2: make pairs and it is done in two steps (start from decimal and go right making pairs and then come back to decimal go right to left of decimal as shown).

Step 3: choose a number and square it such that it is less than or equal to 3 And then subtract it.

Step 4: add with itself(we add the number with the number was divided, in second part we can see we take 27.Here we multiplied 27*7 hence we add 7 to 27 and get 34). The divisor which in this case was 1 and hence we place 2 on the left as shown.

Step 5: As you see the dividend is 200(we bring the next pair after subtracting 3-1).

Step 6: As we can see we had added our divisor to 2 and we have 200 to divide. So we choose a number say "X" such that 2X*X is less just less than or equal to dividend.

Step 7: continue this process until desired (next time we double 27 and do 54X*X).

Therefore, √3 = 1.7324 ⇒ √3 = 1.73