SOLUTION: Put the following expressions into simplified form. {{{ sqrt( 4/5 ) }}} {{{ 40 sqrt( 18x^2/5 ) }}}

Algebra ->  Expressions-with-variables -> SOLUTION: Put the following expressions into simplified form. {{{ sqrt( 4/5 ) }}} {{{ 40 sqrt( 18x^2/5 ) }}}       Log On


   

Question 114449: Put the following expressions into simplified form.
+sqrt%28+4%2F5+%29+
+40+sqrt%28+18x%5E2%2F5+%29+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28+4%2F5+%29+ Start with the given expression


+sqrt%28+4%29%2Fsqrt%285+%29+ Break up the square root


+2%2Fsqrt%285+%29+ Take the square root of 4 to get 2


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+40+sqrt%28+18x%5E2%2F5+%29+ Start with the given expression

+40%2Asqrt%28+18%29sqrt%28x%5E2%29%2Fsqrt%285+%29+ Break up the square root


+40%2Asqrt%28+9%29%2Asqrt%282%29sqrt%28x%5E2%29%2Fsqrt%285+%29+ Factor 18 into 9*2 and break up that root


+40%2A3%2Asqrt%282%29x%2Fsqrt%285+%29+ Take the square root of the perfect squares



+120x%2Asqrt%282%29%2Fsqrt%285+%29+ Multiply