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3 root 5 ×root 5?
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3 root 5 ×root 5?
Explanation of 3 root 5 ×root 5


Introduction: In this question, we are required to simplify the expression 3√5 × √5. To do this, we need to understand the basic rules of multiplication involving square roots and simplify the expression step by step.


Step 1: Express the expression in terms of indices


The given expression can be expressed as 3√5 × √5 = 3(5)1/2 × (5)1/2


Step 2: Apply the rule of multiplication of indices


Using the rule of multiplication of indices, (am × an = am+n), we can simplify the expression as:


3(5)1/2 × (5)1/2 = 3(5)1/2+1/2 = 3(5)1


Step 3: Simplify the expression


Further simplifying the expression, we get:


3(5)1 = 3(5) = 15


Conclusion:


Therefore, 3√5 × √5 = 15.
Community Answer
3 root 5 ×root 5?
3√5×√5
3√25
square root of 25 is 5..
3×5=15..
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3 root 5 ×root 5? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 3 root 5 ×root 5? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3 root 5 ×root 5?.
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