How do you simplify $sqrt(6ab) * sqrt(3a)$ ?

Question

1745 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-09T11:26:47

Remember that $sqrtAxxsqrtB=sqrt(AxxB)$

$=sqrt(6abxx3a)=sqrt(18a^2b)=sqrt(2xx3^2xxa^2xxb)$

We can now take out the squares to leave:

$=sqrt(3^2)xxsqrt(a^2)xxsqrt(2xxb)= 3asqrt(2b)$

Answer 2 · 2016-06-09T11:31:54

$3asqrt(2b)$

We can write the given expression as:

$sqrt(6abxx3a)$

$=sqrt(2xx3xxaxxbxx3xxa)$

We can re-arrange the expression as:

$=sqrt(2xxcolor(red)(3xx3)xxbxxcolor(blue)(axxa))$

We know that $sqrt(3xx3)=3" and "sqrt(axxa)=a$

Therefore, we can take $3$ and $a$ out of the square root sign and the other terms remain under the square root:

$=3asqrt(2b)$

How do you simplify sqrt(6ab) * sqrt(3a)sqrt(6ab) * sqrt(3a)?