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Byju's Answer
Standard X
Mathematics
Nth Term of a GP
Express the f...
Question
Express the followings surds in its simplest form.
(i)
3
√
32
(ii)
√
63
(iii)
√
243
(iv)
3
√
256
.
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Solution
(i)
3
√
32
=
3
√
8
×
4
=
3
√
8
×
3
√
4
=
3
√
2
3
×
3
√
4
=
2
3
√
4
.
(ii)
√
63
=
√
9
×
7
=
√
9
×
√
7
=
3
√
7
.
(iii)
√
243
=
√
81
×
3
=
√
81
×
√
3
=
√
9
2
×
√
3
=
9
√
3
.
(iv)
3
√
256
=
3
√
64
×
4
=
3
√
64
×
3
√
4
=
3
√
4
3
×
3
√
4
=
4
3
√
4
.
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Q.
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Q.
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into its simplest form.
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