Which of the following is equivalent to the expression below?
A.
B.
C.
D.
3 answers
It appears that the expression referred to is missing. Can you provide the expression so that we can determine the equivalent version?
2 square root 54 -square root 18
To find an equivalent expression for 2√54 - √18, we need to simplify the square roots.
First, we can simplify the square roots:
√54 = √(9 * 6) = 3√6
√18 = √(9 * 2) = 3√2
Now, we can substitute these simplified square roots back into the original expression:
2√54 - √18
= 2(3√6) - (3√2)
= 6√6 - 3√2
Therefore, the equivalent expression is 6√6 - 3√2.
The correct option corresponding to the equivalent expression is:
D. 6√6 - 3√2
First, we can simplify the square roots:
√54 = √(9 * 6) = 3√6
√18 = √(9 * 2) = 3√2
Now, we can substitute these simplified square roots back into the original expression:
2√54 - √18
= 2(3√6) - (3√2)
= 6√6 - 3√2
Therefore, the equivalent expression is 6√6 - 3√2.
The correct option corresponding to the equivalent expression is:
D. 6√6 - 3√2