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Math - Simplify Radical Expression

by Andre
(Jacksonville, Florida, United States)












































Find the exact value of the radical expression in simplest form.
the square root of p to the sixth power + the square root of 9 times p to the sixth power + 3 the square root of p to the sixth power − the square root of p squared

13 times p cubed times the square root of p − 2 times p times the square root of p

13 times p cubed times the square root of p − 2p

7p3

7p3 − p

Comments for Math - Simplify Radical Expression

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Aug 22, 2011
Simplify Radical Expression
by: Staff


The question:

by Andre
(Jacksonville, Florida, United States)

Find the exact value of the radical expression in simplest form.

the square root of p to the sixth power + the square root of 9 times p to the sixth power + 3

the square root of p to the sixth power - the square root of p squared

13 times p cubed times the square root of p - 2 times p times the square root of p

13 times p cubed times the square root of p - 2p

7p3

7p3 - p


The answer:

1. the square root of p to the sixth power + the square root of 9 times p to the sixth power + 3 the square root of p to the sixth power - the square root of p squared

√(p⁶) + √(9p⁶) + 3√(p⁶) - √(p²)

√(p³* p³) + √(3*3* p³* p³) + 3√( p³* p³) - √(p²)

√[(p³)²] + √[3²*(p³)²] + 3√[(p³)²] - √(p²)

p³ + 3p³ + 3p³ - p

(p³ + 3p³ + 3p³) - p

7p³ - p


2. 13 times p cubed times the square root of p - 2 times p times the square root of p

13*p³*√(p-2)*p*√(p)

13*p³*p*√(p)*√(p-2)

13*p^(3+1+0.5)*√(p-2)

13*p^(4.5)*(p-2)^(0.5)

or

13*p⁴*√(p²-2p)

13p⁴√(p²-2p)


3. 13 times p cubed times the square root of p - 2p

13*p³*√(p-2p)

13*p³*√(-p)

or

13*p³*i√(p)

Or

13*p^(3+.5)*i

13*p^(3.5)*i



4. 7p3

7p³


5. 7p3 - p

7p³ - p

or

7p*(p² - 1)



Thanks for writing.

Staff
www.solving-math-problems.com



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