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Subjects
Class 10MathematicsReal NumbersIrrational numbersMediumLevel 14

If (\sqrt{c}\times\sqrt{12}=18) and (c) is positive, what is the value of (c)?

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Answer and explanation

Correct answer: (27)

Step 1: (\sqrt{c}\times\sqrt{12}=\sqrt{12c}). Step 2: (\sqrt{12c}=18), so (12c=324) and (c=27). Step 3: In square-root equations, square both sides to solve.

Tags

real-numbersradical-equationsquare-root

Frequently asked questions

What is the correct answer to this question?

(27)

Why is this the correct answer?

Step 1: (\sqrt{c}\times\sqrt{12}=\sqrt{12c}). Step 2: (\sqrt{12c}=18), so (12c=324) and (c=27). 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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