Simplify by expressing with radicals. 3 divided square root of 3=

Step-by-step explanation:

"the square root of

3

divided by

2

" could mean either of the following:

√

3

2

"the square root of:

3

divided by

2

"

√

3

2

"the square root of

3

, divided by

2

".

A square root of a number

n

is a number

x

, such that

x

2

=

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

√

a

b

=

√

a

√

b

, so...

√

3

2

=

√

6

4

=

√

6

2

2

=

√

6

√

2

2

=

√

6

2

We have:

√

3

2

=

√

6

2

≈

1.2247

The second expression cannot be simplified in that way:

√

3

2

is in simplest form.

As an approximation, we can write:

√

3

2

≈

0.8660

This particular number is important as it occurs as the height of an equilateral triangle with sides of length

1

. More commonly, to separate out the divisor

2

, we consider an equilateral triangle of side

2

and bisect it...

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Hence we find that:

sin

(

π

3

)

=

cos

(

π

6

)

=

√

3

2

So when you encountered the expression "the square root of

3

divided by

2

" it seems likely to me that the intention was:

"the square root of

3

, divided by

2

"

that's your answer mate sorry for wrote this type of

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

probability for j is 1/4

while

a is 1/6