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(5+√5)(5-√5)
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Answer:
ANSWER
The given expression (5
5
−5
2
)+(
5
+3
2
) can be simplified as shown below:
(5
5
−5
2
)(
5
+3
2
)
=[(5
5
×
5
)+(5
5
×3
2
)+(−5
2
×
5
)+(−5
2
×3
2
)]
=[(5×5)+(5×3
10
)+(−5
10
)+(−15×2)]
=25+15
10
−5
10
−30
=10
10
−5
=5(2
10
−1)
Hence, (5
5
−5
2
)(
5
+3
2
)=5(2
10
−1)
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