Add 2√8 + √28 + 2√8
To add the given terms, we can simplify the radicals first:
2√8 + √28 + 2√8 = 2√(4 * 2) + √(4 * 7) + 2√(4 * 2)
Next, we can simplify the square roots:
2√(4 * 2) + √(4 * 7) + 2√(4 * 2) = 2√4 * √2 + √4 * √7 + 2√4 * √2
Since the square root of 4 is 2:
2(2)√2 + (2)√7 + 2(2)√2 = 4√2 + 2√7 + 4√2
Now combine the like terms:
4√2 + 2√7 + 4√2 = (4√2 + 4√2) + 2√7
This simplifies to:
(8√2) + 2√7
Therefore, 2√8 + √28 + 2√8 simplifies to 8√2 + 2√7.