What is the following sum? 5(3√x)+9(3√x)
2 answers:
Answer:
Option (c) is correct.
Step-by-step explanation:
Given : expression ![5(\sqrt[3]{x})+9(\sqrt[3]{x} )](https://tex.z-dn.net/?f=5%28%5Csqrt%5B3%5D%7Bx%7D%29%2B9%28%5Csqrt%5B3%5D%7Bx%7D%20%29)
We have to choose the correct option from the given options to the sum of the given expression.
Consider the given expression ![5(\sqrt[3]{x})+9(\sqrt[3]{x} )](https://tex.z-dn.net/?f=5%28%5Csqrt%5B3%5D%7Bx%7D%29%2B9%28%5Csqrt%5B3%5D%7Bx%7D%20%29)
Taking
common from both terms, we have,
![(\sqrt[3]{x})(5+9)=14\sqrt[3]{x}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%7D%29%285%2B9%29%3D14%5Csqrt%5B3%5D%7Bx%7D)
Thus,
5(3√x)+9(3√x)
=3√x(5+9)
=14(3√x)
answer is C. third choice 14(3√x)
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