Question

If a = 10³ × 0.0048 and b = 10^–1 × 75, find the values of `sqrt(ab)` and `sqrt(a/b)`.

Answer 1

We are given:

a = 10³ × 0.0048,

b = 10^–1 × 75

And asked to find `sqrt(ab)` and `sqrt(a/b)`

Step 1: Simplify a

a = 10³ × 0.0048

= 1000 × 0.0048

= 4.8

Step 2: Simplify b

b = 10^–1 × 75

= `1/10 xx 75`

= 7.5

Step 3: Compute ab

ab = 4.8 × 7.5 = 36

So, `sqrt(ab) = sqrt(36) = 6`

Step 4: Compute `a/b`

`a/b = 4.8/7.5 = 48/75 = 16/25`

So, `sqrt(a/b) = sqrt(16/25) = 4/5`