What is the sum of root 50 and root 32?
1) root 82
2) 20 root 20
3) 9 root 2
4) root 2
Do you mean √50 + √32 ?
if so, then ...
= 5√2 + 4√2 = 9√2
(easily verified with a calculator)
To find the sum of √50 and √32, we need to simplify both square roots first.
√50 can be simplified as follows:
√50 = √(25 * 2) = √25 * √2 = 5√2
Similarly, √32 can be simplified as follows:
√32 = √(16 * 2) = √16 * √2 = 4√2
Now, we can add the simplified square roots:
5√2 + 4√2 = (5 + 4)√2 = 9√2
Therefore, the sum of √50 and √32 is 9√2.
So, the correct answer is 3) 9√2.