Question

What is the following sum in simplest form? (Root8)+(3root2)+(root32)

A) (3root8)+(3root2)
B) (5root42)
C) (9root2)
D) (5root2)+(root32)

Answer 1

The sum (Root8)+(3root2)+(root32) can be simplified to 9root2.

Step-by-step explanation:

The sum (Root8) + (3root2) + (root32) can be simplified as follows:

1. Root8 can be simplified as 2root2. This is because the square root of 8 can be written as the square root of 4 times the square root of 2, which equals 2 times root2.
2. (3root2) remains the same.
3. Root32 can be simplified as 4root2. This is because the square root of 32 can be written as the square root of 16 times the square root of 2, which equals 4 times root2.

So, the sum simplifies to 2root2 + (3root2) + 4root2. Combining the like terms, we get (2+3+4)root2, which simplifies to 9root2.