How do you simplify $\sqrt{3} \cdot \sqrt{6}$ $sqrt3*sqrt6$ ?

Question

How do you simplify $\sqrt{3} \cdot \sqrt{6}$ $sqrt3*sqrt6$ ?

3 Answers

Impact of this question

4450 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-29T08:55:34

$3 \sqrt{2}$ $3sqrt2$

Explanation:

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

$Reminder \sqrt{a} \times \sqrt{b} \Leftrightarrow \sqrt{a b}$ $color(orange)"Reminder" sqrtaxxsqrtbhArrsqrt(ab)$

$\Rightarrow \sqrt{3} \times \sqrt{6} = \sqrt{3 \times 6} = \sqrt{18}$ $rArrsqrt3xxsqrt6=sqrt(3xx6)=sqrt18$

$\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3 \times \sqrt{2}$ $sqrt18=sqrt(9xx2)=sqrt9xxsqrt2=3xxsqrt2$

$\Rightarrow \sqrt{3} \times \sqrt{6} = 3 \sqrt{2}$ $rArrsqrt3xxsqrt6=3sqrt2$

Answer 2 · 2017-05-29T08:55:55

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

Explanation:

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

$\sqrt{3} \times \sqrt{6} = \sqrt{3 \times 6} \leftarrow$ $sqrt3 xx sqrt6 = sqrt(3xx6)" "larr$ factor $6$ $6$

$= \sqrt{3 \times 3 \times 2} = \sqrt{3^{2} \times 2}$ $= sqrt (3xx3xx2) = sqrt(3^2xx2)$

Now find the roots where possible:

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

Answer 3 · 2017-05-29T09:10:30

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

Explanation:

$\sqrt{3} \cdot \sqrt{6}$ $sqrt3*sqrt6$

$:.=sqrt(6*3)$

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

$:.=sqrt3 xx sqrt3=3$

$:.color(blue)(=3sqrt2$

check:

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

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

Science

Math

Humanities

... and beyond

How do you simplify $\sqrt{3} \cdot \sqrt{6}$ $sqrt3*sqrt6$ ?

3 Answers

Explanation:

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify sqrt3*sqrt6√3⋅√6sqrt3*sqrt6?

3 Answers

Explanation:

Explanation:

Explanation:

Related questions

Impact of this question

How do you simplify $\sqrt{3} \cdot \sqrt{6}$ $sqrt3*sqrt6$ ?