If (x=\sqrt{6}+\sqrt{24}), what is (x) equal to?
Answer and explanation
Correct answer: (3\sqrt{6})
Step 1: (\sqrt{24}=2\sqrt{6}). Step 2: So (x=\sqrt{6}+2\sqrt{6}=3\sqrt{6}), which is irrational. Step 3: Simplify radicals to like terms before adding.
Frequently asked questions
What is the correct answer to this question?
(3\sqrt{6})
Why is this the correct answer?
Step 1: (\sqrt{24}=2\sqrt{6}). Step 2: So (x=\sqrt{6}+2\sqrt{6}=3\sqrt{6}), which is irrational. Step 3: Simplify radicals to like terms before adding.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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