Question

what is the smallest number by which root √5-√3be multiplied to make it a rational number also find the number so obtained​

Answer 1

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