Option No. 2) √63 is correct answer.
Further explanation:
If the radicals being multiplied have same index then the radicands can be multiplied under same radical.
Given
[tex]\sqrt{3} *\sqrt{21}\\[/tex]
As the index is same, we can write the expression as:
[tex]=\sqrt{3*21}[/tex]
Multiplying the numbers
[tex]\sqrt{63}[/tex]
So,
√3*√21 =√63
Option No. 2) √63 is correct answer.
Keywords: Radicals, Arithmetic operations
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