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Which of the following is the compound surd:
(a) $4 \sqrt{3}$
(b) $\sqrt{3}$
(c) $2 \sqrt[4]{5}$
(d) $\sqrt{3}+\sqrt{5}-\sqrt{7}$
Given :
The given surds are
(a) $4 \sqrt{3}$
(b) $\sqrt{3}$
(c) $2 \sqrt[4]{5}$
(d) $\sqrt{3}+\sqrt{5}-\sqrt{7}$
To do :
We have to choose the compound sued from the given surds.
Solution :
Compound surd:
The algebraic sum of two or more simple surds or the algebraic sum of a rational number and simple surds is called the compound surd.
From the given surds,
$4 \sqrt{3}$, $\sqrt{3}$, $2 \sqrt[4]{5}$ are simple surds.
Therefore, $\sqrt{3}+\sqrt{5}-\sqrt{7}$ is a compound surd.
Option (d) is correct.
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