rationalize 1/10+(√3+√5) = (10-√3-√5) (92+2√15) /8404
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Answer:
rationalization
Step-by-step explanation:
Since (
3
+
10
−
5
)(
3
+
10
+
5
)
=(
3
+
10
)
2
−(
5
)
2
=3+10+2
3
10
−5=8+2
30
and , (8+2
30
)(8−2
30
)=8
2
−(2
30
)
2
=64−4×30=−56
Therefore,
(
3
+
10
−
5
)(
3
+
10
+
5
)(8−2
30
)
=−56 which is a rational number
Hence, (
3
+
10
+
5
)(8−2
30
) is a rationalizing factor of (
3
+
10
−
5
)
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