when we have a problem like 3*sqrt(32) - 2*sqrt(50) how can we make this two square roots into one?
Simplify the following:
3 sqrt(32)-2 sqrt(50)
sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):
3×2^2 sqrt(2)-2 sqrt(50)
2^2 = 4:
3×4 sqrt(2)-2 sqrt(50)
sqrt(50) = sqrt(2×5^2) = 5 sqrt(2):
3×4 sqrt(2)-2×5 sqrt(2)
3×4 = 12:
12 sqrt(2)-2×5 sqrt(2)
-2×5 = -10:
12 sqrt(2)+-10 sqrt(2)
12 sqrt(2)-10 sqrt(2) = 2 sqrt(2):
Answer: | 2 sqrt(2)
