If (\sqrt{d}\times\sqrt{20}=30) and (d) is positive, what is the value of (d)?
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Answer and explanation
Correct answer: (45)
Step 1: (\sqrt{d}\times\sqrt{20}=\sqrt{20d}). Step 2: (\sqrt{20d}=30), so (20d=900) and (d=45). Step 3: In square-root equations, square both sides to solve.
Frequently asked questions
What is the correct answer to this question?
(45)
Why is this the correct answer?
Step 1: (\sqrt{d}\times\sqrt{20}=\sqrt{20d}). Step 2: (\sqrt{20d}=30), so (20d=900) and (d=45). Step 3: In square-root equations, square both sides to solve.
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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