How do you simplify $3 \sqrt{12} + 4 \sqrt{18}$ $3 sqrt 12 + 4 sqrt18$ ?

Question

How do you simplify $3 \sqrt{12} + 4 \sqrt{18}$ $3 sqrt 12 + 4 sqrt18$ ?

3 Answers

Impact of this question

2793 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-02T04:34:54

$6 \sqrt{3} + 12 \sqrt{2}$ $6sqrt3+12sqrt2$

Explanation:

$3 \sqrt{12} + 4 \sqrt{18}$ $3sqrt12+4sqrt18$

$3 \sqrt{4 \cdot 3} + 4 \sqrt{2 \cdot 3 \cdot 3}$ $3sqrt(4*3)+4sqrt(2*3*3)$

$3 \cdot \sqrt{4} \cdot \sqrt{3} + 4 \cdot \sqrt{2} \cdot \sqrt{3} \cdot \sqrt{3}$ $3*sqrt4*sqrt3+4*sqrt2*sqrt3*sqrt3$

$3 \cdot 2 \cdot \sqrt{3} + 4 \cdot \sqrt{2} \cdot \sqrt{3} \cdot \sqrt{3}$ $3*2*sqrt3+4*sqrt2*sqrt3*sqrt3$

$6 \cdot \sqrt{3} + 4 \cdot \sqrt{2} \cdot \sqrt{3} \cdot \sqrt{3}$ $6*sqrt3+4*sqrt2*sqrt3*sqrt3$

$6 \cdot \sqrt{3} + 4 \cdot \sqrt{2} \cdot 3$ $6*sqrt3+4*sqrt2*3$

$6 \sqrt{3} + 12 \sqrt{2}$ $6sqrt3+12sqrt2$

(or $6 (\sqrt{3} + 2 \sqrt{2})$ $6(sqrt3+2sqrt2)$ )

Answer 2 · 2018-03-02T04:35:57

$6 \sqrt{3} + 12 \sqrt{2}$ $6sqrt3+12sqrt2$

Explanation:

$3 \sqrt{12} + 4 \sqrt{18}$ $3sqrt12+4sqrt18$
$3 \sqrt{4 \cdot 3} + 4 \sqrt{9 \cdot 2}$ $3sqrt(4*3)+4sqrt(9*2)$
$6 \sqrt{3} + 12 \sqrt{2}$ $6sqrt3+12sqrt2$
We can't really combine those terms, due to the different numbers under the radicand

Answer 3 · 2018-03-02T04:37:27

$3 \sqrt{12} + 4 \sqrt{18} = 6 \sqrt{3} + 12 \sqrt{2}$ $3sqrt12 + 4sqrt18=color(blue)(6sqrt3 + 12sqrt2$

Explanation:

Simplify:

$3 \sqrt{12} + 4 \sqrt{18}$ $3sqrt12 + 4sqrt18$

Prime factorize $12$ $12$ in $\sqrt{12}$ $sqrt12$ .

$3 \sqrt{2 \times 2 \times 3} + 4 \sqrt{18}$ $3sqrt(2xx2xx3) + 4sqrt18$

Simplify.

$3 \times 2 \sqrt{3} + 4 \sqrt{18}$ $3xx2sqrt3 + 4sqrt18$

$6 \sqrt{3} + 4 \sqrt{18}$ $6sqrt3+4sqrt18$

Prime factorize $18$ $18$ .

$6 \sqrt{3} + 4 \sqrt{2 \times 3 \times 3}$ $6sqrt3+4sqrt(2xx3xx3)$

Simplify.

$6 \sqrt{3} + 4 \times 3 \sqrt{2}$ $6sqrt3+4xx3sqrt2$

$6 \sqrt{3} + 12 \sqrt{2}$ $6sqrt3 + 12sqrt2$

Science

Math

Humanities

... and beyond

How do you simplify $3 \sqrt{12} + 4 \sqrt{18}$ $3 sqrt 12 + 4 sqrt18$ ?

3 Answers

Explanation:

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 3√12+4√183 sqrt 12 + 4 sqrt18?

3 Answers

Explanation:

Explanation:

Explanation:

Related questions

Impact of this question

How do you simplify $3 \sqrt{12} + 4 \sqrt{18}$ $3 sqrt 12 + 4 sqrt18$ ?