Question

Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28.

Answer 1

anyone? please i dont understand

Answer 2

The expression is this right?
\[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}\]

Answer 3

do you know how to solve it?

Answer 4

first we need to simplify \(\Large \sqrt{45}\)

Answer 5

\[\large \sqrt{45}=\sqrt{9*5}\]
\[\large \sqrt{45}=\sqrt{9}*\sqrt{5}\]
\[\large \sqrt{45}=3\sqrt{5}\]

Answer 6

Notice how I factored it into 9*5

one of the factors is the largest perfect square factor possible

Answer 7

make sense?

Answer 8

yes

Answer 9

how would you simplify \(\Large \sqrt{28}\) ?

Answer 10

2 square root of 7

Answer 11

good

Answer 12

So
\[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}\]
turns into
\[\large 3\sqrt{5}-2\sqrt{7}+3\sqrt{5}-2\sqrt{7}\]

Answer 13

from here combine like terms

Answer 14

ok

Answer 15

i dont really know how to do this part its confusing

Answer 16

if I gave you something like 3x+7y+2x+10y, would you be able to combine like terms?

Answer 17

yes

Answer 18

it would be 5x + 17y right?

Answer 19

yes that's correct

Answer 20

you'll use the same idea

Answer 21

let x = sqrt(5) and y = sqrt(7)

\[\large 3\color{red}{\sqrt{5}}-2\color{blue}{\sqrt{7}}+3\color{red}{\sqrt{5}}-2\color{blue}{\sqrt{7}}\]
\[\large 3\color{red}{x}-2\color{blue}{y}+3\color{red}{x}-2\color{blue}{y}\]

Answer 22

ok

Answer 23

simplify `3x-2y+3x-2y` to get ???

Answer 24

6x-y?

Answer 25

6x is correct
-y is not

Answer 26

ok

Answer 27

try again

Answer 28

what would the answer be?

Answer 29

-2y-2y is -4y, agreed?

Answer 30

\[\large 3\color{red}{x}-2\color{blue}{y}+3\color{red}{x}-2\color{blue}{y}\]
\[\large 6\color{red}{x}-4\color{blue}{y}\]
\[\large 6\color{red}{\sqrt{5}}-4\color{blue}{\sqrt{7}}\]

Answer 31

So,
\[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} = 6\sqrt{5}-4\sqrt{7}\]

Answer 32

ok thank a lot

Answer 33

can you help me with this one please? if you want to.
Which statement is true about the difference 2 square root of 7 − square root of 28?

Answer 34

\[2\sqrt{7} - \color{red}{\sqrt{28}} = 2\sqrt{7} - \color{red}{2\sqrt{7}} = 0\sqrt{7} = 0\]