9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
Answer:
12
Step-by-step explanation:
Answer:
18 jars can be filled completely.
Step-by-step explanation:
7L=7000ml
1 jar contain 375 ml
375ml can be filled in 1 jar
375ml=1 jar
1 ml = 1/375 jar
7000 ml = 7000× 1/375 jar
7000ml= 18.67 jar
hence 18 jars can be filled completely.
(-2)^4=16
(-2)^-1=-1/2
-1/2x16=-8
Answer: -8
