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Mathematics 10 Online
OpenStudy (anonymous):

Whats happens when you square a square root?

OpenStudy (anonymous):

you cant handle the truth

OpenStudy (anonymous):

right

OpenStudy (anonymous):

You know how addition adn subtraction are opposites of each other? Well, we can say that squaring and taking the square root are also opposite opperations

OpenStudy (anonymous):

so they will cancel?

OpenStudy (anonymous):

yes, but let me explain a little bit

OpenStudy (amistre64):

\[5^{1/2}*5^{1/2}=5^{1/2+1/2}=5^1=5\]

OpenStudy (anonymous):

come on man^

OpenStudy (amistre64):

i should look up every now and then ... sorry :)

OpenStudy (anonymous):

@Lagrange you can still explain

OpenStudy (amistre64):

square roots are rational exponents, fractions if you will

OpenStudy (amistre64):

and when you multiply like bases; exponents add up

OpenStudy (anonymous):

ok what if I had the square root of 2, cubed?

OpenStudy (amistre64):

\[(\sqrt{2})^3=2^{3/2}=2^{1+1/2}=2^1*2^{1/2}\]

OpenStudy (anonymous):

the square root gets cancelled

OpenStudy (anonymous):

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