Question

classify the given pair of surds into like and unlike surds 3√3, √72​

Answer 1

Answer:

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Answer 2

Given, pair of surds : $3\sqrt{3} , \sqrt{72}$.

We know that, if the order and radicants of the surd are same, then they are said to be like surds.

$\sqrt{72} =\sqrt{9\times8}$

       $=\sqrt{9} \times\sqrt{8}$

       $=3\times\sqrt{8}$

       $=3\sqrt{8}$

$3\sqrt{3}$ and $3\sqrt{8}$:

Here, the orders of two surds are same, but radicants are different.

Hence, given pair of surds are unlike surds.