sqrt ( 48 m^9 n^10) / 2m^3n^2
( 4 m^4 n^5) sqrt 3 m / 2 m^3 n^2
2 m n^3 sqrt (3m)
Algebra 2B
Unit 2 Sample Work
Radical Functions and Rational Exponents
Simplify the following quotient.
sqrt 8m^5n^6 / sqrt2m^3n^2 • sqrt 6m4^n^4 /sqrt2m^3n^2
4 answers
sqrt 8m^5n^6 / sqrt2m^3n^2 • sqrt 6m4^n^4 /sqrt2m^3n^2
= √(8m^5 n^6) / √(2m^3 n^2) * √(6m^4 n^4) / √(2m^3 n^2)
= √ [(8m^5 n^6) / (2m^3 n^2) ] * √ [ (6m^4 n^4) / (2m^3 n^2) ]
= √(4m^2 n^4) * √(3m n^2)
= √(12m^3 n^6)
= √12 * √m^3 * √n^6
= 2√3 * m√m * n^3
= 2mn^3 √(3m)
check my steps
= √(8m^5 n^6) / √(2m^3 n^2) * √(6m^4 n^4) / √(2m^3 n^2)
= √ [(8m^5 n^6) / (2m^3 n^2) ] * √ [ (6m^4 n^4) / (2m^3 n^2) ]
= √(4m^2 n^4) * √(3m n^2)
= √(12m^3 n^6)
= √12 * √m^3 * √n^6
= 2√3 * m√m * n^3
= 2mn^3 √(3m)
check my steps
oh, good, we agreed
Whew !!
1 answer