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6. Caroline was simplifying the radical expression √5/√18. She thinks that if you multiply by √2/√2, it will rationalize the denominator. Is she correct? Show your work to justify your response.

6 Caroline was simplifying the radical expression 518 She thinks that if you multiply by 22 it will rationalize the denominator Is she correct Show your work to class=

Respuesta :

[tex]\frac{\sqrt[]{5}}{\sqrt[]{18}}\cdot\frac{\sqrt[]{2}}{\sqrt[]{2}}[/tex]

start applying the property for radicals on both numerator and denominator

[tex]\frac{\sqrt[]{5\cdot2}}{\sqrt[]{18\cdot2}}=\frac{\sqrt[]{10}}{\sqrt[]{36}}[/tex]

then, simplify

[tex]\frac{\sqrt[]{10}}{6}[/tex]

she is correct because the expression obtained eliminates the radical in the denominator.

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