what is the smallest number by which root √5-√3be multiplied to make it a rational number also find the number so obtained
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2
Answer:
2
Step-by-step explanation:
The smallest number that multiplied by ( 5√ - 3√ ) is the conjugate number of this number to give rational number is = ( 5√ + 3√ )
So,
Rational number obtained = ( 5√ - 3√ ) ( 5√ + 3√ )
= ( 5 + 15−−√ - 15−−√ - 3 )
= 5 - 3
= 2
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