SOLUTION: {{{ 7sqrt(72) - 2sqrt(50)}}}
{{{ 2^3sqrt(54x^4) - 3^3sqrt(16x^4)}}}
{{{ 6sqrt(98) - 9sqrt(32) - 3sqrt(200)}}}
{{{sqrt(12/21)}}}
{{{ 5^3sqrt(16) + 2^3sqrt(128)}}}
{{{
Algebra.Com
Question 119046:
I know the limit is four a day, but I really am having trouble understanding radicals. Any help would be greatly appreciated. Thanks so much!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first three to help you get started.
#1
Start with the given expression
Simplify to get . Note: If you need help with simplifying square roots, check out this solver.
Simplify to get .
Multiply 7 and 6 to get 42.
Multiply 2 and 5 to get 10.
Since we have the common term , we can combine like terms
Combine like terms. Remember,
Now simplify to get
So simplifies to . In other words,
Start with the given expression
Evaluate to get 8. Evaluate to get 27
Factor into . Factor into
Break up the square roots
Take the square root.
Multiply
So simplifies to .
In other words,
#3
Start with the given expression
Simplify to get . Note: If you need help with simplifying square roots, check out this solver.
Simplify to get .
Simplify to get .
Multiply 6 and 7 to get 42.
Multiply 9 and 4 to get 36.
Multiply 3 and 10 to get 30.
Since we have the common term , we can combine like terms
Combine like terms. Remember,
Now simplify to get
So simplifies to . In other words,
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