simplify the expression √8y + 5 √50y - 2 √18y
To simplify the given expression, we first need to simplify the square roots.
√8y = √(4 * 2y) = √4 * √(2y) = 2√(2y)
√50y = √(25 * 2y) = √25 * √(2y) = 5√(2y)
√18y = √(9 * 2y) = √9 * √(2y) = 3√(2y)
Now, substituting the simplified square roots back into the given expression, we have:
2√(2y) + 5√(2y) - 2(3√(2y))
Combining like terms, we get:
(2 + 5 - 6)√(2y)
Simplifying further, we have:
1√(2y) = √(2y)
Therefore, the simplified expression is √(2y).
its incorrect i think maybe there is a number missing before √(2y)
I apologize for the mistake. Let's go through the simplification process again.
√8y can be simplified as √(4 * 2y) = 2√(2y)
√50y can be simplified as √(25 * 2y) = 5√(2y)
√18y can be simplified as √(9 * 2y) = 3√(2y)
Plugging these simplified forms back into the expression, we have:
2√(2y) + 5√(2y) - 2√(2y)
Combining like terms, we get:
(2 + 5 - 2)√(2y) = 5√(2y)
Therefore, the simplified expression is 5√(2y).
the answer choices are:
a. 13√2y
b. 21√2y
c. (√8y + 5 √50y - 2 √18)√y
d. 882y
Apologies for the confusion. Let's simplify the expression once again:
2√(2y) + 5√(2y) - 2√(2y)
Combining like terms, we get:
(2 + 5 - 2)√(2y) = 5√(2y)
So, the correct answer is 5√(2y).
5√(2y). isnt part of the answer choice its wrong
Apologies for the mistake. Let's simplify the expression once again:
√8y = √(4 * 2y) = 2√(2y)
√50y = √(25 * 2y) = 5√(2y)
√18y = √(9 * 2y) = 3√(2y)
Plugging these simplified forms back into the expression, we have:
2√(2y) + 5√(2y) - 2√(2y)
The like terms cancel out, leaving us with:
0
Therefore, the simplified expression is 0.