Question

What is radical 50 - radical 2

Answer 1

4√2

Explanation:

To get √50 - √2, we need to simplify the √50. We can split the √50 into two factors, these being 2 and 25. Now, we have √2x25. The 25 is a perfect square, with 5 being the square root. This means we can put the 5 outside of the radical and remove the 25, leaving us with 5√2. Now we still need to subtract √2. This works similarly to subtracting something such as 5x-x. Because our radicals are the same, we can just subtract the √2 and have 4√2.

Answer 2

4 sqrt(2)

Explanation:

radical 50 - radical 2

I rewrite in terms of sqrt (means the same thing)

sqrt(50) - sqrt(2)

sqrt(25*2) - sqrt(2)

We know that sqrt (ab) = sqrt(a) sqrt(b)

sqrt(25)sqrt(2) - sqrt(2)

5sqrt(2) - sqrt(2)

Factor out the sqrt(2)

sqrt(2) (5-1)

4 sqrt(2)