TaymD713807 TaymD713807
  • 25-10-2022
  • Mathematics
contestada

which expression is equivalent to [tex] \sqrt{15} \times \sqrt{12} [/tex]

which expression is equivalent to tex sqrt15 times sqrt12 tex class=

Respuesta :

ClevelandL171637 ClevelandL171637
  • 25-10-2022

Consider that √15 and √12 can be written as follow:

√15 = √(3*5)

√12 = √(3*4)

Moreover, √15*√12 = √(15*12). Then, you can write:

√(15*12) = √(3*5*3*4) = √(3^2*2^2*5) = 3*2√5 = 6√5

Hence, the equivalent expression is 6√5

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