What is radical 50 - radical 2

4 sqrt (2)

Step-by-step 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)

4√2

Step-by-step 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.