abutarawalie649
abutarawalie649 abutarawalie649
  • 08-06-2022
  • Mathematics
contestada

If √ 24 + √ 96 7 √600 = y√ 6, find the value of y. -​

Respuesta :

josephtainilai2
josephtainilai2 josephtainilai2
  • 08-06-2022

Solution :

[tex]y = 2(1 + 5 \sqrt{967} )[/tex]

Step by Step explanation:

1.Switch sides

[tex]y\sqrt{6} = \sqrt{24 } + \sqrt{967} \sqrt{600} [/tex]

2.Simplify√24 + √967 √600

[tex]y \sqrt{6} = 2 \sqrt{6} + 10 \sqrt{5802} [/tex]

3.Divide both side by √6

[tex] \frac{y \sqrt{6} }{ \sqrt{6} } = \frac{2 \sqrt{6} }{ \sqrt{6 } } + \frac{10 \sqrt{5802} }{ \sqrt{6} } [/tex]

4.Simplify

[tex]y = 2(1 + 5 \sqrt{967} )[/tex]

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