Question

Given the two expressions shown below:

square root of 4 plus square root of 25
square root of 4 plus square root of 9

Which statement best describes the two expressions?
Both are rational.

Both are irrational.

A is rational, but B is irrational.

A is irrational, but B is rational.

Answer 1

please help ill attach the image so you can understand better

Answer 2

both are rational
this is because the square root of 4 is a real valued integer and so is the square root of 25, and 9

if you add 2 + 5 you get 7
if you add 2 + 3 you get 5
the purpose of this exercise is to test whether or not you know what happens when you take the square root of a number
example:
the square root of 3 is an irrational number
if you add sqrt(3) to 1 the answer is irrational
if you add sqrt(3) to ANY integer(1,2,3,4,5...) the answer is irrational

Answer 3

thanks alot do you think you could help with another question

Answer 4

go for it

Answer 5

Simplify: cube root of 5 over fourth root of 5

5 to the power of 1 over 4

5 to the power of 1 over 12

5 to the power of 7 over 12

5 to the power of 4 over 3

Answer 6

ill show you the question

Answer 7

thats it

Answer 8

your first step is going to be to rationalize the denominator
so you will multiply both the top and the bottom by 5^(3/4)
the reason for this is because in your denominator you have 5^(1/4), which is irrational
5^(3/4) * 5^(1/4) = 5
this occurs because when multiplying numbers with exponents, you add the exponents

the expression now contains your numerator 5^(1/3) * 5^(3/4) and denominator of 5 where the exponents will simplify by the following:
1/3 + 3/4 - 1
= 4/12 + 9/12 - 12/12
= 13/12 - 12/12
= 1/12
so 5^(1/12) is your answer, or the twelfth root of 5

Answer 9

thanks um do you know how to work with function cuz i need help on this one question

Answer 10

yes

Answer 11

ok here are the questions thanks for your help

Answer 12

system 2 and 4 because when you add
4x - 5y = 2
2 * (3x - 2y = 1)
you obtain
10x - 9y = 4
which is the second equation in system 4

Answer 13

thank you that makes sense

Answer 14

for the next question to find the y intercept of both f(x) and g(x) you evaluate the function when x is zero
this is quite simple:
f(0) = -6(1.02)^(0)
f(0) = -6(1) ( because any number other than 0 to the power of 0 is equal to the integer 1)
f(0) = -6
and from the table you can obtain g(0)
g(0) = -3
it seems the y intercept of f(x) is 2 times the y intercept of g(x)

Answer 15

thankz so much do you think you could help with this last question

Answer 16

sure no problem

Answer 17

thanks for the help

Answer 18

your value of g(x) is constant, so it would not depend on x at all
so g(x) = 4
your value of f(x) is increasing at an exponential rate and seems to depend on x
f(1) = 3 and 3^1 = 3
f(2) = 9 and 3^2 = 9
f(3) = 27 and 3^3 = 27
f(4) = 81 and 3^4 = 81
f(5) = 243 and 3^5 = 243
it seems that defining this function as 3^x = f(x) would work nicely
so f(x) + g(x) = 3^x + 4

Answer 19

thanks you so much for all your help your a lifesaver merry christmas

Answer 20

:) merry christmas