Square-root of two multiplied by the cube-root of 2
=sqrt(2)*(2)^(1/3)
=2^(1/2)*2^(1/3)
=2^(1/2+1/3) multiplication rule of exponents
=2^((3+2)/6)
=2^(5/6)
=(2^5)^(1/6).........sixth root of 2^5
=(32)^(1/6) ............sixth root of 32.
Answer:
C) 8 and 9
Step-by-step explanation:
We know that 70 is between two perfect squares.
The square numbers 64 and 81 can help us solve this question.
64<70<81
We take square root to get:
![\sqrt{64} \: < \: \sqrt{70} < \sqrt{81}](https://tex.z-dn.net/?f=%20%5Csqrt%7B64%7D%20%20%5C%3A%20%20%3C%20%20%5C%3A%20%20%5Csqrt%7B70%7D%20%20%3C%20%20%5Csqrt%7B81%7D%20)
We simplify this to get:
![8 \: < \: \sqrt{70} \: < \: 9](https://tex.z-dn.net/?f=8%20%5C%3A%20%20%3C%20%20%5C%3A%20%20%5Csqrt%7B70%7D%20%20%5C%3A%20%20%3C%20%20%5C%3A%209)
Therefore √70 is between 8 and 9.
The correct option is C.
So you need to multiply 64 times 12 and she has to pay $768
You would have to do 24.85 x 4 because the 24.85 is per hour and if someone is going for 4 hours, this is what we would have to work out. So it would equal: 99.40 miles per hour. :)
Apologies for the bad handwriting.