Respuesta :

Answer:

n = √2/8

Step-by-step explanation:

1/4 × √ 2 = 2n

√2/4 = 2n

√2 = 4×2n

8n = √2

n = √2/8

The value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is n = √2 / 8

The given equation is:

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

Multiply through by 4

[tex] \sqrt{2} = 4(2n)[/tex]

This can be further simplified as

[tex] \sqrt{2} = 8n[/tex]

[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]

The like terms cancel out

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

Therefore, the value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

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