How do you simplify #sqrt( 144s^14)#??

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Answer 1

Apr 6, 2018

#12s^7#

Given: #sqrt(144s^14)#

Use the radical rule: #sqrt(m*n) = sqrt(m) * sqrt(n)#

#sqrt(144s^14) = sqrt(144)sqrt(s^14) = 12sqrt(s^14)#

Use the exponent rule: #x^(m+n) =x^m * x^n#

#s^14 = s^(7+7) = s^7s^7#

#12sqrt(s^14) = sqrt(s^7 * s^7) = 12s^7#