Question

2.5×15×underoot 3 over 2.​

Answer 1

Answer:

75

Step-by-step explanation:

2.5*15*3^2*1/2

=2.5*15*3

=75

Answer 2

2.4.6.6

Step-by-step explanation:

Note that 23=8<15<27=33

So 2<3√15<3

To find an approximation for the cube root of a number n, choose a reasonable first approximation a0 and apply the following formula (from Newton's method), repeatedly if necessary:

ai+1=ai+n−a3i3a2i

In our case n=15 and choose a0=2.5 since the cube root is somewhere between 2 and 3.

Then:

a1=a0+n−a303a20=2.5+15−2.533⋅2.52

=2.5+15−15.62518.75=2.5−0.62518.75=2.4.6.6