Simplify (√3 − √7)^2
1 answer:
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Given:
The expression is:
To find:
Part A: The expression using parentheses so that the expression equals 23.
Part B: The expression using parentheses so that the expression equals 3.
Solution:
Part A:
In option A,
[Using BODMAS]
In option B,
[Using BODMAS]
In option C,
In option D,
[Using BODMAS]
After the calculation, we have and
.
Therefore, the correct options are B and D.
Part B: From part A, it is clear that
Therefore, the correct option is C.
Answer:
C
Step-by-step explanation:
The n th term formula of a geometric sequence is
= a
where a is the first term and r the common ratio
Using the second and fourth term, then
ar = 6 → (1)
ar³ = 54 → (2)
Divide (2) by (1)
=
= 9
r² = 9 ⇒ r = = 3 → C