How do you simplify $\sqrt{3} \times \sqrt{6}$ $sqrt 3 times sqrt6$ ?

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Answer 1 · 2018-05-27T02:54:09

$\sqrt{3} \sqrt{6} = 3 \sqrt{2}$ $sqrt3sqrt6=color(blue)(3sqrt2$

Simplify:

$\sqrt{3} \sqrt{6}$ $sqrt3sqrt6$

Apply rule: $\sqrt{a} \sqrt{b} = \sqrt{a b}$ $sqrtasqrtb=sqrt(ab)$

$\sqrt{3} \sqrt{6} = \sqrt{3 \times 6} = \sqrt{18}$ $sqrt3sqrt6=sqrt(3xx6)=sqrt18$

Prime factorize $\sqrt{18}$ $sqrt18$ .

$\sqrt{18} = \sqrt{2 \times 3 \times 3}$ $sqrt18=sqrt(2xx3xx3)$

Write the prime factors in exponent form.

$\sqrt{18} = \sqrt{2 \times 3^{2}}$ $sqrt18=sqrt(2xx3^2)$

Apply rule: $\sqrt{a^{2}} = a$ $sqrt(a^2)=a$

$\sqrt{18} = 3 \sqrt{2}$ $sqrt18=3sqrt2$

How do you simplify √3×√6 sqrt 3 times sqrt6?