Divided 4√10/√2

Answer 1

To simplify the expression 4√10/√2, we can multiply the numerator and denominator by √2 to rationalize the denominator.

(4√10/√2) * (√2/√2)

This can be rewritten as:

(4√10 * √2) / (√2 * √2)

Simplifying further:

(4√20) / (√4)

The square root of 4 is 2, so we have:

(4√20) / 2

Now we can divide 4 by 2:

2√20

Finally, we can simplify the square root of 20:

2√(4 * 5)

2√4√5

2 * 2√5 = 4√5

Therefore, the simplified version of 4√10/√2 is 4√5.