Question

How do you evaluate `\sqrt { \frac { ( 6) ( 136^ { 2} ) + ( 21) ( 185^ { 2} ) } { 7+ 21+ 2} }`?

Answer 1

Simplify the terms in the numerator and denominator and continue using BEDMAS.

Explanation:

This is pretty easy. We can just input all of this into a calculator and use brackets accordingly, but to avoid confusion, I'll do it one step at a time.

First step, is simplify the numerator and denominator.

For numerator:

We'll simplify the first 2 terms (the terms before the `+`).

`6*136^2`

`=6*18496`

`=110976`

And then the next two terms.

`21*185^2`

`=21*34225`

`=718725`

We add the two values together...

`110976+718725`

#=829701

So now we have...

`sqrt(829701/(7+21+2))`

For denominator:

Just add the 3 terms.

`7+21+2=30`

So now we have...

`sqrt(829701/30)`

We can simplify the fraction to `276567/10`.

Thus, we get...

`sqrt(276567/10)`

If we use the square root function, we get a decimal. Due to inaccuracy, I will leave the solution there.

If you want, you can carry on with the operation (just do `276567-:10`, then hit the `sqrt` function and then `=`. You should get `~~166.303`).

Hope this helps :)