Simplify
3-2*root2 of whole root ??
To simplify the expression 3 - 2√(√2), we need to follow a step-by-step process:
Step 1: Simplify the innermost square root.
We know that the square root of 2 (√2) is an irrational number. Therefore, we cannot simplify it further.
Step 2: Simplify the expression under the square root symbol.
Since we cannot simplify √2 any further, we move on to the next step.
Step 3: Simplify the multiplication of 2 and √2.
To simplify 2√2, we multiply the coefficient (2) by the value inside the square root (√2). This gives us 2√2.
Step 4: Simplify the subtraction.
Now that we have simplified the expressions under the square root sign, we can subtract them. 3 - 2√2 becomes our final answer.
Therefore, the simplified expression is 3 - 2√2.