Divide 4√10 / √2. Provide an exact answer. (1 point)

Answer 1

To divide the expression 4√10 by √2, we can simplify the denominator first.

√2 can be written as √(2*1), or √2.

Now, we can rewrite the expression as:

4√(10) / √(2)

To divide, we can multiply the numerator and denominator by the conjugate of the denominator. The conjugate of √2 is -√2.

(4√(10) / √(2)) * (-√2 / -√2)

This simplifies to:

(-4√(20) / 2)

We can further simplify the expression by factoring out the square root term:

(-4 * √(4*5) / 2)

This becomes:

(-4 * 2√5 / 2)

The 2's cancel out, leaving:

-4√5

Therefore, the exact answer to 4√10 / √2 is -4√5.

Answer 2

its 4√5. correct?

Answer 3

Apologies for the mistake in my previous response. You are correct. The exact answer is 4√5.