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Mathematics 15 Online
OpenStudy (milo123):

MEDAL http://prnt.sc/chcud9

OpenStudy (milo123):

@zepdrix @Jaynator495 @Nnesha @IrishBoy123

OpenStudy (danjs):

Which one?

OpenStudy (milo123):

Any of them

OpenStudy (danjs):

The first, you use the property here, the root n is the same as the fraction 1/n power \[\large \sqrt[n]{a}=a^{1/n}\] so \[\large \sqrt[3]{x^3} = [x^3]^{1/3} = x^{3/3} = x\]

OpenStudy (danjs):

Cube root both sides...

OpenStudy (danjs):

\[\large \sqrt[3]{x^3} = \sqrt[3]{\frac{ 125 }{ 27 }}=\frac{ \sqrt[3]{125} }{ \sqrt[3]{27} }\] \[\large x=\frac{ 5 }{ 3 }\]

OpenStudy (milo123):

5/3? sorry I'm slow

OpenStudy (danjs):

yeah, with that you should be able to get the next one...

OpenStudy (milo123):

number 2 is 60.5?

OpenStudy (milo123):

@DanJS could you please help me with the 3rd one

OpenStudy (danjs):

The second is a square root, the second root. \[\large x^2 = a\] \[\large x = \pm \sqrt{a}\] The square root can give a plus or minus value... two minuses under the root can multiply to a positive...

OpenStudy (danjs):

You see x = 121 X - 121 = 0 (x + 11)*(x - 11) = 0 so X + 11 = 0 or X - 11 = 0 X = +11 or X=-11

OpenStudy (danjs):

The last says it is a Square, all sides are equal, and the area of the square is Side*side Area = (length*width) If a side is, call it X the Area of the square is \[\large Area = X *X = X^2\]

OpenStudy (danjs):

They say the area is 113 , so you put that in and solve for X, side length 113 = X^2

OpenStudy (milo123):

10.64? @DanJS

OpenStudy (danjs):

With the calculatior, square root of 113 is about 10.6301 that would round to 10.63

OpenStudy (milo123):

oh i got 10.64

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