simplify 4root13+8root11-2root13-15root11 =
Answers
Answered by
0
Answer:
24 is the ans
Step-by-step explanation:
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Answered by
0
Answer:
e
Step-by-step explanation:
Given expression is,
\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}+\sqrt{11}} + \frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}-\sqrt{11}}
13
+
11
13
−
11
+
13
−
11
13
+
11
=\frac{(\sqrt{13}-\sqrt{11})^2+(\sqrt{13}+\sqrt{11})^2 }{(\sqrt{13})^2-(\sqrt{11})^2}=
(
13
)
2
−(
11
)
2
(
13
−
11
)
2
+(
13
+
11
)
2
=\frac{13+11-2\sqrt{143}+13+11+2\sqrt{143} }{13-11}=
13−11
13+11−2
143
+13+11+2
143
( Since, (a±b)² = a² ±2ab + b² )
=\frac{48 }{2}=
2
48
=24=24
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