Surds & Indices

1

Find the largest from among `root4(6), sqrt(2) and root3(4)`.

A. `root2(3)`
B. `root3(4)`
C. `root3(5)`
D. `root2(4)`

2

Which is larger `sqrt(2)` or`root3(3)` ?

A. `3sqrt(3) > sqrt(2)`
B. `sqrt(5) < sqrt(2)`
C. `sqrt(1) > sqrt(2)`
D. `sqrt(2) > sqrt(3)`

3

Simplify `(x^a/x^b)^(a^2 + b^2 + ab) xx (x^b/x^c)^(b^2 + c^2 + bc) xx (x^c/x^a)^(c^2 + a^2 + ca)`

A. 0.2
B. 0.3
C. 0.1
D. 1

4

If  `x = y^a,  y = z^b and  z = x^c` then find the value of abc.

A. 1
B. 2
C. .1
D. .2

5

Find the value of  `(6^(2/3) xx root3(6^7))/(root3(6^6))`

A. 3
B. 5
C. 6
D. 8