Answer :

Answer:

Therefore, lowest rationalizing factor is ( 7 + √7 ).

Step-by-step explanation:

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Answer:

5 - [tex]\sqrt{7}[/tex]

Step-by-step explanation:

To rationalise the factor multiply by the conjugate factor

The conjugate of 5 + [tex]\sqrt{7}[/tex] is 5 - [tex]\sqrt{7}[/tex] , then

(5 + [tex]\sqrt{7}[/tex] )(5 - [tex]\sqrt{7}[/tex] ) ← expand using FOIL

= 5² - ([tex]\sqrt{7}[/tex] )²

= 25 - 7

= 18

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