heltongirl0904 heltongirl0904

07-12-2021
Mathematics

contestada

What is the square root of 12a^3b^5 times the square root of 6ab^2?

Respuesta :

reinhard10158 reinhard10158

09-12-2021

Step-by-step explanation:

sqrt(12×a³b⁵) × sqrt(6×ab²)

the content of multiplied square roots can be combined into one square root :

sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =

= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =

= 6a²b³×sqrt(2b)

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