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Simplify the expression
MATHEMATICS · Subjective · GCSE · Mathematics · Algebra · Algebra
Problem
Simplify the expression
(
2
−
1
)
1
−
3
(
2
+
1
)
1
+
3
\frac{(\sqrt{2} - 1)^{1-\sqrt{3}}}{(\sqrt{2} + 1)^{1+\sqrt{3}}}
(
2
+
1
)
1
+
3
(
2
−
1
)
1
−
3
, writing your answer as
a
−
b
c
a - b\sqrt{c}
a
−
b
c
, where
a
a
a
,
b
b
b
, and
c
c
c
are positive integers.
Related theory
Laws of Exponents
Real Number System
Surds and rationalisation
Laws of exponents for real numbers
Number Systems
Algebra
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