please give me a step by step answer of it
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InfinityMS:
Hey once again will you type this question here
I m not getting your operational symbols
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Answered by
11
Let's solve first 7+√5/7-√5
→ (7+√5)/(7-√5)×(7+√5)/(7+√5)
→ (7+√5)(7+√5)/(7-√5)(7+√5)
→ (7+√5)²/(7²-√5²)
→ {7²+√5²+2(7)(√5)}/(49-5)
→ (49+5+14√5)/44
→ (54+14√5)/44
Now solve 7-√5/7+√5
→ (7-√5)/(7+√5)×(7-√5)/(7-√5)
→ (7-√5)²/(7+√5)(7-√5)
→ {7²+√5²-2(7)(√5)}/(7²-√5²)
→ (49+5-14√5)/(49-5)
→ (54-14√5)/44
Now,
7+√5/7-√5 - 7-√5/7+√5
→ (54+14√5)/44 - (54-14√5)/44
→ (54+14√5-54+14√5)/44
→ 28√5/44
→14√5/22
→ 7√5/11
→ 7√5 × 1/11
= a +7√5b
By comparing we get,
a = 0 and b = 1/11
Hope it helps
→ (7+√5)/(7-√5)×(7+√5)/(7+√5)
→ (7+√5)(7+√5)/(7-√5)(7+√5)
→ (7+√5)²/(7²-√5²)
→ {7²+√5²+2(7)(√5)}/(49-5)
→ (49+5+14√5)/44
→ (54+14√5)/44
Now solve 7-√5/7+√5
→ (7-√5)/(7+√5)×(7-√5)/(7-√5)
→ (7-√5)²/(7+√5)(7-√5)
→ {7²+√5²-2(7)(√5)}/(7²-√5²)
→ (49+5-14√5)/(49-5)
→ (54-14√5)/44
Now,
7+√5/7-√5 - 7-√5/7+√5
→ (54+14√5)/44 - (54-14√5)/44
→ (54+14√5-54+14√5)/44
→ 28√5/44
→14√5/22
→ 7√5/11
→ 7√5 × 1/11
= a +7√5b
By comparing we get,
a = 0 and b = 1/11
Hope it helps
thank you sooooooooooooooo much!
Answered by
0
Answer:
Mark it as brainlist answer
Step-by-step explanation:
given,
14+6
5
=
14+2×3
5
=
9+5+2×3
5
=
9+2×3
5
+5
=
(3)
2
+2×3
5
+(
5
)
2
=
(3+
5
)
2
=3+
5
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