if aand bis a rational number and √3+√2/√3-√2 =a+b√6the find the value of a^2+b^2
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Answer:
Given (
3
2
−2
3
2
+
3
)
=(
6
(
3
−
2
)
2
+
3
)
Rationalize the denominator
=(
6
(
3
−
2
)
2
+
3
)×(
3
+
2
3
+
2
)
=(
6
×(3−2)
2+3+2
6
)
=(
6
5
)+2
=2+(
6
5
)
6
by comparing
∴a=2andb=(
6
−5
)
Step-by-step explanation:
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