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If (x=\sqrt{5}+\sqrt{20}), what is the value of (x^2)?
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Answer and explanation
Correct answer: (45)
Step 1: (\sqrt{20}=2\sqrt{5}), so (x=3\sqrt{5}). Step 2: (x^2=(3\sqrt{5})^2=9\times5=45). Step 3: Simplify surd terms before squaring.
Frequently asked questions
What is the correct answer to this question?
(45)
Why is this the correct answer?
Step 1: (\sqrt{20}=2\sqrt{5}), so (x=3\sqrt{5}). Step 2: (x^2=(3\sqrt{5})^2=9\times5=45). Step 3: Simplify surd terms before squaring.
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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