Question

Evaluate without using calculator or mathematical table 3√2(2/√3-√12/3)

Answer 1

To evaluate the expression without a calculator or mathematical table, you can simplify it step by step:

Given expression:

3√2 * (2/√3 - √12/3)

Step 1: Simplify the fractions inside the parentheses:

2/√3 = (2/√3) * (√3/√3) = (2√3) / 3

√12/3 = (√(4*3))/3 = (2√3)/3

So, the expression becomes:

3√2 * ((2√3)/3 - (2√3)/3)

Step 2: Subtract the two fractions inside the parentheses:

(2√3)/3 - (2√3)/3 = 0

Now, the expression simplifies to:

3√2 * 0 = 0

So, the final evaluation of the expression is 0.