(3 + 4√5) / (4 + 2√5) = 7 - p√5
find the value of p and express it as a rational number in its standard from
Answers
Answered by
3
Step-by-step explanation:
→L.H.S: Rationalising the denominators:
⇒
7−
5
7+
5
×
7+
5
7+
5
−
7+
5
7−
5
×
7−
5
7−
5
⇒
(7)
2
−(
5
)
2
(7+
5
)
2
−
(7)
2
−(
5
)
2
(7−
5
)
2
⇒
49−5
[(7+
5
)−(7−
5
)][(7+
5
)+(7−
5
)]
⇒
44
(2
5
)(14)
⇒
11
7
5
→ Comparing the rational and irrational terms on both L.H.S and R.H.S, we get,
p=0 and −7
5
q=
11
7
5
⇒p=0 and q=
11
−1
Answered By
Anshika
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