The given surds can be simplified as follows: √( 10 )×√( 11 ) =√( 10× 11 ) =√( 110 ) . #160; #160;Hence, #160; √( 10 )×√( 11 ) =√( 110 ) . ...

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Multiplication of Surds

Simplify: √1...

Question

Simplify:
$\sqrt[5]{10} \times \sqrt[5]{11}$ .

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Solution

The given surds can be simplified as follows:
$\sqrt[5]{10} \times \sqrt[5]{11} = \sqrt[5]{10 \times 11} = \sqrt[5]{110}$ .

Hence, $\sqrt[5]{10} \times \sqrt[5]{11} = \sqrt[5]{110}$ .

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