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,
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