Question

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

Answer 1

√0.0007​ = 0.02646

Explanation:

We know that:

√7 = 2.646

We want to find the value of:

√0.0007

Also we know the relations:

`(√(x) )/(√(y) ) = \sqrt{(x)/(y) }`

Then:

`√(0.0007) = \sqrt{(7)/(10,000) }`

We can rewrite this as:

`\sqrt{(7)/(10,000) } = (√(7) )/(√(10,000) ) = (2.646)/(100) = 0.02646`