If a = ଷି√ହ
ଷା√ହ
and b = ଷା√ହ
ଷି√ହ
then find a2 – b2 ?
Answers
Answered by
0
Step-by-step explanation:
(a)
Rationalizing the LHS of
3−
7
3+
7
=a+b
7
.
3−
7
3+
7
×
3+
7
3+
7
=a+b
7
(3)
2
−(
7
)
2
(3+
7
)
2
=a+b
7
9−7
9+7+6
7
=a+b
7
2
16+6
7
=a+b
7
8+3
7
=a+b
7
By comparing both sides,
a=8,b=3
(b)
Rationalizing the LHS of
7−4
3
5+
3
=47a+b
3
.
7−4
3
5+
3
=47a+b
3
7−4
3
5+
3
×
7+4
3
7+4
3
=47a+b
3
(7)
2
−(4
3
)
2
(5+
3
)(7+4
3
)
=47a+b
3
49−48
35+20
3
+7
3
+12
=47a+b
3
47+27
3
=47a+b
3
By comparing both sides,
a=1,b=27
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