How do you simplify $sqrt 3 times sqrt6$ ?

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Answer 1 · 2018-05-27T02:54:09

$sqrt3sqrt6=color(blue)(3sqrt2$

Simplify:

$sqrt3sqrt6$

Apply rule: $sqrtasqrtb=sqrt(ab)$

$sqrt3sqrt6=sqrt(3xx6)=sqrt18$

Prime factorize $sqrt18$ .

$sqrt18=sqrt(2xx3xx3)$

Write the prime factors in exponent form.

$sqrt18=sqrt(2xx3^2)$

Apply rule: $sqrt(a^2)=a$

$sqrt18=3sqrt2$

How do you simplify sqrt 3 times sqrt6 sqrt 3 times sqrt6?