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Class 10MathematicsReal NumbersIrrational numbersMediumLevel 13

The product of (\sqrt{a}) and (\sqrt{b}) is (12). If (a=3), what is the value of (b)?

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Answer and explanation

Correct answer: (48)

Step 1: (\sqrt{a}\times\sqrt{b}=\sqrt{ab}). Step 2: (\sqrt{3b}=12), so (3b=144) and (b=48). Step 3: In square-root equations, squaring both sides is useful.

Tags

real-numbersradical-equationsquare-root

Frequently asked questions

What is the correct answer to this question?

(48)

Why is this the correct answer?

Step 1: (\sqrt{a}\times\sqrt{b}=\sqrt{ab}). Step 2: (\sqrt{3b}=12), so (3b=144) and (b=48). Step 3: In square-root equations, squaring both sides is useful.

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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