SOLUTION: We are suppose to express this in simplest radical form. 3square root of 2 plus square of 50. Please help!

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Question 87806This question is from textbook algebra structure and method
: We are suppose to express this in simplest radical form.
3square root of 2 plus square of 50.
Please help!
This question is from textbook algebra structure and method

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
I suspect that you meant to say the square root of 50 instead of the square of 50. So you
meant for the problem to be:
.
3%2Asqrt%282%29+%2B+sqrt%2850%29
.
Note that 50 is 25*2. So you can substitute 25*2 for 50 and the problem becomes:
.
3%2Asqrt%282%29+%2B+sqrt%2825%2A2%29
.
By the rules of square roots you can split sqrt%2850%2A2%29 into sqrt%2825%29%2Asqrt%282%29
to convert the problem to:
.
3%2Asqrt%282%29+%2B+sqrt%2825%29%2Asqrt%282%29
.
But the square root of 25 is 5 and substituting 5 for the square root of 25 changes the
problem to:
.
3%2Asqrt%282%29+%2B+5%2Asqrt%282%29
.
Then you can factor out the square root of 2 to make the problem:
.
sqrt%282%29%2A%283+%2B+5%29
.
and replace 3+5 by 8 makes it:
.
sqrt%282%29+%2A+8
.
and we conventionally write this as:
.
8%2Asqrt%282%29
.
Hope this helps you to understand the problem and some of the steps you can take to simplify
radicals.
.
If you really meant the problem to be:
.
3%2A+sqrt%282%29+%2B+50%5E2
.
then please post the problem again because that is a whole different problem from the
one I worked above.