Question

Math is the only thing i need help with, that should tell you all something

Answer 1

My someone check and help me with this

Answer 2

1 is ok

Answer 3

for 2, first write down the formula for the area of a rectangle, then fill in the numbers
(but don't multiply anything yet)

Answer 4

Square roots are actually a challenge to me like how to go on about them

Answer 5

in this problem you have fourth roots (even worse than square roots)

but to make progress, first write down the formula for the area

Answer 6

and the formula would be

Answer 7

the formula of the rectangle

Answer 8

It's basic (meaning people expect you to memorize it)
http://www.mathopenref.com/rectanglearea.html

Answer 9

If you paint the house, or pave a driveway, or wallpaper you need to know how to figure out the area so you know how much material to buy.

Answer 10

A= L*W (length times width)

use the numbers they gave you
\[A = 3\sqrt[4]{8} \left( 5+ 2\sqrt[4]{32}\right)\]

Answer 11

do you know how to distribute the 3 rt(8) (I'll use rt as short for \( \sqrt[4]{stuff} \)

Answer 12

sorry just trying to understand

Answer 13

its frustrating because seems like everyone else can do it

Answer 14

FIrst, do you understand

A= L*W

? do you know how to use it for a rectangle with width=2 and length = 6 ?

Answer 15

yes

Answer 16

The idea stays the same if we have "messy" numbers
in your problem we have
\[ Width= 3\sqrt[4]{8} \\ Length= \left( 5+ 2\sqrt[4]{32}\right) \]

we want L*W, which means multiply. To show we multiply (in algebra), we put then next to each other (we could put in a \( \cdot \) or * or x to show multiply, but usually we don't)

so we get
\[ Area = 3\sqrt[4]{8} \left( 5+ 2\sqrt[4]{32}\right) \]

it might look complicated, but it is still one (ugly) number times another (uglier) number.

ok , so far?

Answer 17

ok simple so far

Answer 18

some more info.

when we write
\[ 3\sqrt[4]{8} \]
that means
3 times \( \sqrt[4]{8} \) (but we never bother to put in a multiplication sign)

Answer 19

a useful rule (about how numbers work) is the distributive property

3*(1+2) = 3*1 + 3*2 (distribute means "hand out" or pass out to everybody... here the 3* is "handed out" to the 1 and the 2 inside the parens

in letters, we write the rule
a(b+c)= ab+ac
which shows the "a' being distributed.

Answer 20

Let's distribute the \( 3\sqrt[4]{8} \)
to do that, just show it being multiplied by each term inside the parens
(don't simplify yet... that comes in the next step)

can you distribute
\[ 3\sqrt[4]{8} \left( 5+ 2\sqrt[4]{32}\right) \]
?

Answer 21

all together im getting 925

Answer 22

no, we don't want to simplify to a single number. we just want to write down the expression after distributing

in other words
\[ 3\sqrt[4]{8} \left( 5+ 2\sqrt[4]{32}\right) \\
3\sqrt[4]{8} \cdot 5+ 3\sqrt[4]{8} \cdot 2\sqrt[4]{32}\]

remember that we can change the order when multiplying so we can write it
\[ 3\cdot 5 \cdot \sqrt[4]{8} \hspace{8 pt}+ \hspace{8 pt}3 \cdot 2 \cdot \sqrt[4]{8}\cdot 2\sqrt[4]{32}\]

Answer 23

** fixed a typo:
\[ 3\cdot 5 \cdot \sqrt[4]{8} \hspace{8 pt}+ \hspace{8 pt}3 \cdot 2 \cdot \sqrt[4]{8}\cdot \sqrt[4]{32} \]

Answer 24

now we can simplify the first term. notice we have a 3*5 which we can simplify

Answer 25

what do we get for the first term?

Answer 26

we are going in small steps, so you should be able to do this part:
simplify
\[ 3\cdot 5 \cdot \sqrt[4]{8} \]
(and the only thing that is easy to simplify is the 3*5 )

Answer 27

3 x 5 is 15

Answer 28

yes, and can you write the whole term? if you can't type in \(\sqrt[4]{8} \)
use rt(8) instead, and I'll know what you mean

Answer 29

the first term is
15 rt(8) meaning
\[ 15\sqrt[4]{8} \]
ok ?

Answer 30

now let's tackle the second term
\[ 3 \cdot 2 \cdot \sqrt[4]{8}\cdot \sqrt[4]{32} \]

can you simplify the 3*2?

Answer 31

6/3=3 or 6/2=3

Answer 32

so basically 6 could be changed into 3

Answer 33

is that right or did i simplify it the wrong way

Answer 34

it says 3*2 which means 3 times 2
you do what it says

Answer 35

6

Answer 36

yes. that means we change
\[ 3 \cdot 2 \cdot \sqrt[4]{8}\cdot \sqrt[4]{32} \]
to
\[6 \cdot \sqrt[4]{8}\cdot \sqrt[4]{32} \]

ok so far?

Answer 37

ok

Answer 38

now we notice that both "radicals" have the same little 4 (meaning fourth root)
if we have the same root (and we do) we can combine the radicals using this rule
\[ \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \]

Answer 39

can you show how to combine
rt(8) * rt(32)
?

Answer 40

combine
\[ \sqrt[4]{8} \cdot \sqrt[4]{32} \]

Answer 41

idk how to put the problem like that

Answer 42

Did you ever try the equation editor? It's the button below and to the left of where you type in