madeleinebelljohnson
madeleinebelljohnson madeleinebelljohnson
  • 08-06-2022
  • Mathematics
contestada

What is the answer (6√2)(-3√5)

Respuesta :

josephtainilai2
josephtainilai2 josephtainilai2
  • 08-06-2022

Solution:

[tex] - 18 \sqrt{10} [/tex]

Step-by-step explanation:

1. Apply rule : a(-b) = -ab

[tex] = - 6 \sqrt{2} \: \: • \: \: 3 \sqrt{5} [/tex]

2. Apply radical rule : [tex] \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex] , [tex]a \geqslant 0[/tex], [tex]b[/tex]

[tex] = 6 \sqrt{2 \: • \: 5} \: • \: 3[/tex]

3.Multiply the numbers : 2 • 5 = 10

=[tex]6 \sqrt{10} •3[/tex]

4.Multiply the numbers : - 6 • 3= - 18

[tex] = - 18 \sqrt{10} [/tex]

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