How do you simplify sqrt3*sqrt6?

3 Answers
Jim G.
May 29, 2017

3sqrt2

Explanation:

"using the "color(blue)"laws of radicals"

color(orange)"Reminder" sqrtaxxsqrtbhArrsqrt(ab)

rArrsqrt3xxsqrt6=sqrt(3xx6)=sqrt18

sqrt18=sqrt(9xx2)=sqrt9xxsqrt2=3xxsqrt2

rArrsqrt3xxsqrt6=3sqrt2

EZ as pi
May 29, 2017

=3sqrt2

Explanation:

Remember that if you multiplying or dividing square roots, you can combine them into one.

sqrt3 xx sqrt6 = sqrt(3xx6)" "larr factor 6

= sqrt (3xx3xx2) = sqrt(3^2xx2)

Now find the roots where possible:

=3sqrt2

Barney V.
May 29, 2017

color(blue)(=3sqrt2

Explanation:

sqrt3*sqrt6

:.=sqrt(6*3)

:.=sqrt(2*ul(3*3))

:.=sqrt3 xx sqrt3=3

:.color(blue)(=3sqrt2

check:

:.color(blue)(sqrt3 xx sqrt6=4.242640687

:.color(blue)(3 xx sqrt2 =4.242640687

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