bright9595
bright9595 bright9595
  • 18-03-2021
  • Mathematics
contestada

If √7 = 2.646, find without using calculator,
the value
of
√0.0007​

Respuesta :

facundo3141592
facundo3141592 facundo3141592
  • 26-03-2021

Answer:

√0.0007​ = 0.02646

Step-by-step explanation:

We know that:

√7 = 2.646

We want to find the value of:

√0.0007

Also we know the relations:

[tex]\frac{\sqrt{x} }{\sqrt{y} } = \sqrt{\frac{x}{y} }[/tex]

Then:

[tex]\sqrt{0.0007} = \sqrt{\frac{7}{10,000} }[/tex]

We can rewrite this as:

[tex]\sqrt{\frac{7}{10,000} } = \frac{\sqrt{7} }{\sqrt{10,000} } = \frac{2.646}{100} = 0.02646[/tex]

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