Question

under root 3 divided by under root 2 (2+2under root 3)

Answer 1

Answer:

Explanation:

"the square root of 3 divided by 2" could mean either of the following:

√32  "the square root of: 3 divided by 2"

√32  "the square root of 3, divided by 2".

A square root of a number n is a number x, such that x2=n. Every non-zero number actually has two square roots, which we call √n and −√n. When we say "the" square root, we usually mean the principal one √n, which for n≥0 is the non-negative one.

In either of the above interpretations of the question, the resulting number will be an irrational number - not a rational one.

Considering each in turn:

We can "simplify" the first square root

Note that if a,b>0 then √ab=√a√b, so...

√32=√64=√622=√6√22=√62

We have:

√32=√62≈1.2247

The second expression cannot be simplified in that way:

√32

is in simplest form.

As an approximation, we can write:

√3