√(√5 + 2) + √(√5 - 2)/√(√5 + 1) - √(3 - 2√2) = N , Then N equals ?
Answers
N=
5
+1
5
+2
+
5
−2
−
3−2
2
Consider,
A=
5
+2
+
5
−2
Squaring both sides
A
2
=
5
+2+
5
−2+2(
5
+2
)(
5
−2
)
⇒A
2
=2
5
+2
5−4
⇒A
2
=2
5
+2
⇒A
2
=2(
5
+1)
So,
A=±
2
5
+1
Now Consider
3−2
2
=
2+1−2
2
=
(
2
−1)
2
=
2
−1
So,
N=
5
+1
2
5
+1
−(
2
−1)
Or
N=−
5
+1
2
5
+1
−(
2
−1)
⇒N=
2
−
2
+1
Or
N=−
2
−
2
+1
⇒N=1
Or N=−2
2
+1
Step-by-step explanation:
i hope it's helpful to you
Answer:
1
N=
5
+1
5
+2
+
5
−2
−
3−2
2
Consider,
A=
5
+2
+
5
−2
Squaring both sides
A
2
=
5
+2+
5
−2+2(
5
+2
)(
5
−2
)
⇒A
2
=2
5
+2
5−4
⇒A
2
=2
5
+2
⇒A
2
=2(
5
+1)
So,
A=±
2
5
+1
Now Consider
3−2
2
=
2+1−2
2
=
(
2
−1)
2
=
2
−1
So,
N=
5
+1
2
5
+1
−(
2
−1)
Or
N=−
5
+1
2
5
+1
−(
2
−1)
⇒N=
2
−
2
+1
Or
N=−
2
−
2
+1
⇒N=1
Or N=−2
2
+1