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The equivalent of the products given = 3√7
A perfect square root is said to be a number that gives rise to an integer when it's square root is carried out. Examples are √16, √9 which is 4 and 3 respectively.
√3 × √21
But √a ×√b = √ a×b
Find the prime factors which when multiplied would give 21 = 3 and 7.
Therefore,
[tex] \sqrt{3 \times 3 \times 7} [/tex]
[tex] \sqrt{9 \times 7} [/tex]
[tex] 3 \sqrt{7} [/tex]
Therefore, the equivalent of the products of √3 × √21 =
3√7
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