if 3 minus root 7 upon 3 + root 7 equals to a + b root 7 then find a and b
Answers
Answered by
0
On simplifying,
3−
7
3+
7
=a+b
7
⇒
3−
7
3+
7
×
3+
7
3+
7
=a+b
7
⇒
3
2
−(
7
)
2
(3+
7
)
2
=a+b
7
⇒
2
9+7+6
7
=a+
7
⇒
2
16+6
7
=a+
7
⇒
2
2(8+3
7
)
=a+
7
⇒8+3
7
=a+b
7
.
Therefore, a=8,b=3
Answered by
0
Answer:
(3-√7)/(3+√7)
=(3-√7)^2/(3+√7)(3-√7)
=(3-√7)^2/(3^2-√7^2)
=(3^2+√7^2-2.3.√7)/(9-7)
=(9+7-6√7)/2
=(16-6√7)/2
=2(8-3√7)/2
=8-3√7
=a+b√7
so, a=8 and b= -3
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