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Byju's Answer
Standard X
Mathematics
Componendo and Dividendo
State, with r...
Question
State, with reason, which of the following are surds and which are not :
(i)
3
√
25
(ii)
3
√
40
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Solution
3
√
25
×
3
√
40
=
3
√
5
×
5
×
3
√
2
×
2
×
2
×
5
=
2
3
√
5
×
5
×
3
√
5
=
2
3
√
−
1
×
−
1
×
−
1
=
−
5
since, it does not remain in root form
so, it is not a surd
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