If a =
1
5√2+7
and b =
1
3−2√2
, find the value of a2 + b2 – ab.
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Answer:
a= 5√2+7
a²= (5√2+7)²
a²= (5√2)²+(7)²+2(35√2)
a²= 50+49+70√2
a²= 99+70√2
b= 3-2√2
b²= (3-2√2)²
b²= (3)²+(2√2)²-2(6√2)
b²= 9+8-12√2
b²= 17-12√2
ab= 3(5√2+7)-2(5√2+7)
= 15√2+21-10√2-14
= 5√2+7
now putting together in a²+b²-ab
Step-by-step explanation:
a=
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