Answer:
Pefect Squares but Not Perfect Cubes: 256, 361
Both Perfect Squares and Perfect Cubes: 1, 64
Perfect Cubes but Not Perfect Squares: 125
Step-by-step explanation:
256=16^2 ; 361=19^2
1=1^2=1^3 ; 64=8^2=4^3
125=5^3
96=6*16 (Not squares nor cubes)
200=2*100 (Not squares nor cubes)
333=37*9 (Not squares nor cubes)
The square root of 12 minus 2 is a rational number
Answer:
Step-by-step explanation:
Vertex form of the quadratic equation: 
where the vertex is 
Given vertex = (6, 5):
If one the x-intercepts is (8, 0):
Therefore, equation of parabola:
x-intercepts occur when f(x) = 0:
Therefore, the x-coordinate of the other x-intercept is 4.
Answer:
3( root 3 /2)^2 + 3/4 (root 3 )^2 - 2(2/ root 3) ^2 - 3/4 (1/root3)^2
= 3 ×3 /4 + 3 × 3 /4 - 2 ×4 /3 - 3/4 × 1/3
= 9/4 + 9/4 -8/ 3 - 1/4
= 9/4 + 9/4 - 1/4 - 8/3
= 17/4 - 8/3
=( 17 × 3 - 8 × 4 )/12
= (54 -32)/12
= 19 /12
