show that 5 + root 5, 5 minus root 5 is rational number
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Answered by
3
Solution:
Given 5 + √5 , 5 - √5
i ) Sum of the numbers
= 5 + √5 + 5 - √5
= 10 ( Rational )
ii ) Product of the numbers
= ( 5 + √5 )( 5 - √5 )
= 5² - ( √5 )
= 25 -5
= 20 ( Rational )
•••••
Given 5 + √5 , 5 - √5
i ) Sum of the numbers
= 5 + √5 + 5 - √5
= 10 ( Rational )
ii ) Product of the numbers
= ( 5 + √5 )( 5 - √5 )
= 5² - ( √5 )
= 25 -5
= 20 ( Rational )
•••••
Answered by
1
(5+√5) (5-✓5)
= 25+5√5-5√5-√5×√5
= 25-5
=20 rational number
= 25+5√5-5√5-√5×√5
= 25-5
=20 rational number
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