

The product 3√2.4√2.12√32 equals
a. √2
b. 2
c. 12√2
d. 12√32
Solution:
Given
3√2.4√2.12√32
It can be written as
= (2)1/3 . (2)1/4 . (32)1/12
= (2)1/3 . (2)1/4 . (25)1/12
By further simplification
= (2)1/3 . (2)1/4 . 25/12
We know that am × an = am + n
= 21/3 + 1/4 + 5/12
Taking LCM
= 2(4 + 3 + 5)/12
= 212/12
So we get
= 21
= 2
Therefore, the product is 2.
✦ Try This: The product 4√3.3√3.10√243 equals
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.1 Problem 18
The product 3√2.4√2.12√32 equals a. √2, b. 2, c. 12√2, d. 12√32
Summary:
The product of two rational numbers can always be written as a rational number. The product equals 2
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