How do you evaluate #\sqrt { \frac { ( 6) ( 136^ { 2} ) + ( 21) ( 185^ { 2} ) } { 7+ 21+ 2} }#?
1 Answer
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
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
Hope this helps :)