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PLEASE HELP!!!
Which expressions simplify to a rational answer? Select each correct answer.

PLEASE HELP!!! Which expressions simplify to a rational answer? Select each correct-example-1
User Jpbalarini
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1 Answer

3 votes

ANSWER


The first three expressions will simplify to a rational answer.


Step-by-step explanation


Let us simplify the expressions then we can see which of them are rational.


A.



7√(3) * √(3)



We multiply out the roots to get




7√(3) * √(3)=7 * (√(3))^2


This simplifies to






7√(3) * √(3)=7 * 3







7√(3) * √(3)=21



This is a rational number hence the answer is rational.


B.




√(5) * √(5)=(√(5))^2






√(5) * √(5)=5



This is also a rational solution.




C.





2√(9) * √(4)=2*3*2






2√(9) * √(4)=12



This one too is a rational solution.




D.




√(3) * √(16)=√(3)*4





√(3) * √(16)=4√(3)



This is an irrational answer because √3 is an irrational number and multiplying a rational number, 4 by an irrational number results in an irrational number.



User RyanCW
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