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Class 10MathematicsReal NumbersIrrational numbersEasyLevel 15

What is the value of (\sqrt{3}\times\sqrt{75})?

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Answer and explanation

Correct answer: (15)

Step 1: (\sqrt{3}\times\sqrt{75}=\sqrt{225}). Step 2: (\sqrt{225}=15), so the result is rational. Step 3: If the number inside becomes a perfect square after multiplication, the answer can be rational.

Tags

real-numbersradical-productrational-result

Frequently asked questions

What is the correct answer to this question?

(15)

Why is this the correct answer?

Step 1: (\sqrt{3}\times\sqrt{75}=\sqrt{225}). Step 2: (\sqrt{225}=15), so the result is rational. Step 3: If the number inside becomes a perfect square after multiplication, the answer can be rational.

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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