PI
98
Simplify: (i) V12x3 (ii)
162
ution:
Answers
Answered by
0
Answer:
To simplify
3
√
162
, we should first factorize
162
into prime factors.
The factor of two can be worked out as
162
=
2
×
3
×
3
×
3
×
3
As we are taking out cube root of
162
, we should make group of three same numbers. In the given case, we can have it only one group of prime factor
3
and hence for cube root we can takeout only one
3
.
3
√
162
=
3
√
2
×
3
×
3
×
3
−−−−−−−−
×
3
or
3
√
162
=
3
3
√
2
×
3
Hence
3
√
162
=
3
3
√
6
Answer
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