How do you simplify #7sqrt3*2sqrt6#?
3 Answers
Explanation:
#"using "color(blue)"law of radicals"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(sqrtaxxsqrtbhArrsqrt(axxb))color(white)(2/2)|)))#
#rArr7sqrt3xx2sqrt6#
#=7xx2xxsqrt3xxsqrt6#
#=14xxsqrt(3xx6)#
#=14xxsqrt18#
#["now " sqrt18=sqrt(9xx2)=sqrt9xxsqrt2=3sqrt2]#
#=14xx3sqrt2#
#=42sqrt2#
See a solution process below:
Explanation:
First, we can rewrite this expression as:
We can now use this rule for multiplying radicals to continue the simplification:
We can now use the same rule we used above but in reverse to rewrite this expression as:
so,
Then,
i.e.
so,
:)>