¨o18/¨o8 - ¨o2
a) ¨o 3
b) 3
c) 3¨o 2
d)9 ¨o 2/6
To solve the expression ¨o18/¨o8 - ¨o2, we need to simplify step by step.
Step 1: Simplify ¨o18.
¨o18 is equal to the square root of 18. Evaluating the square root of 18, we get ¨o 3¨o2.
Step 2: Simplify ¨o8.
¨o8 is equal to the square root of 8. Evaluating the square root of 8, we get ¨o2¨o2.
Step 3: Substitute the simplified values back into the expression.
Now we have ¨o3¨o2/¨o2 - ¨o2.
Step 4: Simplify the expression further.
Since ¨o2/¨o2 is equal to 1, we can rewrite the expression as ¨o3 - ¨o2.
Step 5: Simplify ¨o3 - ¨o2.
To subtract square roots, the values inside the square roots must be the same. Since the values inside the square roots are not the same, we cannot simplify this expression further.
So, the final simplified expression is ¨o3 - ¨o2, which is the same as option c) 3¨o 2.