If a={√5+2}÷{√5-2} ; b={√5-2}÷{√5+2} then find the value of a+b????????
please give the answer in detail!!!!!!
Answers
Answered by
1
Step-by-step explanation:
a={√5+2}÷{√5-2}
=(√5+2)/(√5-2} )(√5+2}/{√5+2))
=((√5+2)^2 /((√5)^2-(-2} ^2)
=(5+4+2(√5)(2)) / 5-4
=9+4√5
similarly b={√5-2}÷{√5+2)= 9-4√5
a+b=9+4√5+9-4√5=18
Answered by
1
a+b=(√5+2/√5-2) + (√5-2/√5+2)
make the denominator same by multiplying:
numerator and denominator of a with √5+2
numerator and denominator of b with √5-2
a+b= {(√5+2)^2/(√5-2)(√5+2)}+{(√5-2)^2/(√5+2)(√5-2)
=(√5+2)^2+(√5-2)^2/5-4
=5+4+4√4+5+4-4√5/1
=5+4+5+4
=18
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