What is the simplified form of the following expression? 2 StartRoot 18 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 162 EndRoot

2*√18 + 3*√2 + √162 = 18*√2

Step-by-step explanation:

I guess that the equation is:

2*√18 + 3*√2 + √162

And we want to simplify it.

first 18 = 9*2

then we can write:

2*√18 = 2*√(9*2) = 2*3*√2 = 6*√2

and 162/9 = 18

then we can write:

√162 = √(9*18) = √9*√18 = 3√18

now we can use the previous step: √18 = 3*√2

and:

√162 = 3*(3*√2) = 9*√2

now we can write our equation as:

6√2 + 3√2 + 9√2 = (6 + 3 + 9)√2 = 18*√2

And now we can not simplify it further more, so here we end.

2 1/2 feet

step-by-step explanation:

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.