16/4-root 32. Simplify by rationalizing denominators?

Question

Answer

Simplifying 16/4-root 32

To simplify this expression, we need to rationalize the denominator.

Step 1: Find the square root of 32

We can simplify the expression by finding the square root of 32.

√32 = √16 x √2 = 4√2

Step 2: Substitute the value of the square root in the denominator

Substituting the value of the square root in the denominator, we get:

16 / 4 - 4√2

Step 3: Simplify the expression

We can simplify the expression further by dividing both the numerator and denominator by 4.

16 / 4 - 4√2

= 4 - √2

Final Answer

The simplified form of 16/4-root 32 is 4 - √2.