Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11.

negative 33 square root of 9
negative 11 square root of 9
negative 9 square root of 11
negative 9 square root of 33

question 5(multiple choice worth 1 points)

simplify square root of 5 open parentheses 10 minus 4 square root of 2 close parentheses.

14
15 square root of 2
5 square root of 2 end root minus 4 square root of 10
none of the above

question 6(multiple choice worth 1 points)

simplify square root of 3 times square root of 21.

square root of 24
square root of 63
3 square root of 7
none of the above

; None of the above;

Step-by-step explanation:

For the first question:

Treating the radicals as a variable, we combine like terms:

For the second question:

We use the distributive property:

This is not one of the choices available.

For the third question:

We will first find the prime factorization of 21.  21 = 3*7:

These can all be written under one radical:

For square roots, we want pairs of factors.  We have a pair of 3s, so this comes out, giving us

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b