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Mathematics 16 Online
OpenStudy (anonymous):

can someone help me with radicals? please :(

OpenStudy (anonymous):

hey

OpenStudy (anonymous):

hello @Calle87

OpenStudy (anonymous):

question?

OpenStudy (anonymous):

its this. @Calle87

OpenStudy (anonymous):

okay whats the question

OpenStudy (anonymous):

its in the attachment. @christiano123

OpenStudy (anonymous):

ok, so i have row d done

OpenStudy (anonymous):

\[\sqrt{18}+2\sqrt{75}-\sqrt{48}\]

OpenStudy (anonymous):

okay c: @Calle87 thanks.

OpenStudy (anonymous):

so with radicals you can simplify each one by splitting them into smaller radicals

OpenStudy (anonymous):

\[\sqrt{18}=\sqrt{9}\sqrt{2}=3\sqrt{2}\]

OpenStudy (anonymous):

like the square root of 18, is a decimal so you break it down and use a number that equals to 18 like 9x2 and since its still big you can simplify 9x3? @Calle87

OpenStudy (anonymous):

\[2\sqrt{75}=2(\sqrt{25})(\sqrt{3})=2(5)\sqrt{3}=10\sqrt{3}\]

OpenStudy (anonymous):

ya see what i did?

OpenStudy (anonymous):

\[\sqrt{9}\sqrt{2}\]

OpenStudy (anonymous):

whats the square root of 9?

OpenStudy (anonymous):

3 @Calle87

OpenStudy (anonymous):

so 2 cant be simplified but 9 can oh i see

OpenStudy (anonymous):

ya they dont want decimals

OpenStudy (anonymous):

you want the largest possible square root with the smallest

OpenStudy (anonymous):

ie 9 and 2 for 18

OpenStudy (anonymous):

aha i just dont understand the last one were it has y @Calle87

OpenStudy (anonymous):

ok so the last one,

OpenStudy (anonymous):

yea @Calle87 the y's confuse me with the exponents.

OpenStudy (anonymous):

\[3(\sqrt{2y})(\sqrt{y^2})\]

OpenStudy (anonymous):

\[\sqrt{2y^3}=\sqrt{2y}\sqrt{y^2}\]

OpenStudy (anonymous):

see what i did?

OpenStudy (anonymous):

and what if there is a number on the outside of the sqrt and one on the inside? do you just bring the outside one down and fin the sqrt of the inside? @Calle87

OpenStudy (anonymous):

\[3(\sqrt{2y})(\sqrt{y^2})\]

OpenStudy (anonymous):

what is the square root of y^2?

OpenStudy (anonymous):

is it y?

OpenStudy (anonymous):

yes!! :)

OpenStudy (anonymous):

\[3(\sqrt{2y})(y)\]

OpenStudy (anonymous):

\[3y \sqrt{2y}\]

OpenStudy (anonymous):

first expression is simplified

OpenStudy (anonymous):

can you do the 2nd?

OpenStudy (anonymous):

oh i get it is the second one A? i think it is c: @Calle87

OpenStudy (anonymous):

of the last row

OpenStudy (anonymous):

the last one? @Calle87

OpenStudy (anonymous):

it is c

OpenStudy (anonymous):

the second one is C

OpenStudy (anonymous):

the last row is E

OpenStudy (anonymous):

fourth row is D

OpenStudy (anonymous):

oh i thought it was a because of the 3 and the 4 sqrt

OpenStudy (anonymous):

what are you asking?

OpenStudy (anonymous):

because i saw the second one say 3y sqrt 4y and i thought it was the first one because it said 3 sqrt 2 because 4's sqrt is 2.

OpenStudy (anonymous):

so you are having problems with the second row?

OpenStudy (anonymous):

no i got an a c: thanks :D

OpenStudy (anonymous):

ok, so no more?

OpenStudy (anonymous):

yea no more thanks :D i understand them now c:

OpenStudy (anonymous):

cool! great job @ahoymewmew

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