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pashok25 [27]
3 years ago
7

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational numbe

r?

Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0
A. The square of an irrational number \sqrt(11)=\sqrt(11)*\sqrt(11)=\sqrt(11^2)=11, which is a rational number. However, in B, C, and D, the two pair of rational numbers cannot multiply to become a rational number.
LUCKY_DIMON [66]3 years ago
4 0
Answer: option A.        \sqrt{11} . \sqrt{11}

Justification:

By definition the product of the square root of a number times itself is the same number.

This is:     \sqrt{n} . \sqrt{n} = n


Because:    \sqrt{n} . \sqrt{n} =( \sqrt{n})^2 = n


Therefore, for the case given:   \sqrt{11} . \sqrt{11} = 11

And you have proved that the product of the two irrational numbers, √11, is a ratonal number, 11.

On the other hand, the other products, B, C, and D do not yield to a rational number. The result of the products shown on B, C, and D are irrational.
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