show that 12 cos 30degrees + 2 tan 60degrees can written in the form square root of k, where k is an integer.
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4
6root3 + 2root3 = 8root3
Lauren2214:
hello, erm..im using mathswatch and your answer only gave me 2 out of 3 marks, can u simplify 8 root 3 or anything to get a third mark? thank you
Answered by
34
Answer:
Square root of 192
Step-by-step explanation:
12 cos 30 degrees + 2 tan 60 degrees
= 12* (root 3 /2) + 2* root 3 [as cos 30= root 3/2 and tan 60 = root 3]
=6 root 3 + 2 root 3
= 8 root 3
= square root of 64*3
=square root of 192
= square root of k [ where k = 192 = integer]
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