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State whether true or false in the following: sqrt(75)/sqrt(3) = 5 - Mathematics

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Question

State whether true or false in the following:

`sqrt(75)/sqrt(3) = 5`

True or False
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Solution

This statement is true.

Explanation:

Use the identity:

`sqrt(a)/sqrt(b) = sqrt(a/b)`

`sqrt(75)/sqrt(3) = sqrt(75/3)`

= `sqrt(25)`

= 5

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1B [Page 11]

APPEARS IN

B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1B | Q 2. (iv) | Page 11
B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
MISCELLANEOUS EXERCISE | Q 7. (ii) | Page 18
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