How do you simplify $\sqrt{24}$ $sqrt24$ ?

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Answer 1 · 2018-04-27T02:28:03

$2 \sqrt{6}$ $2sqrt6$

$\sqrt{24}$ $sqrt24$

The largest factor of $24$ $24$ which can be square rooted is $4$ $4$ :
$\sqrt{4 \cdot 6}$ $sqrt(4 * 6)$

Split it up:
$\sqrt{4} \cdot \sqrt{6}$ $sqrt4 * sqrt6$

Simplify $\sqrt{4}$ $sqrt4$ :
$2 \cdot \sqrt{6}$ $2 * sqrt6$

which becomes:
$2 \sqrt{6}$ $2sqrt6$

Hope this helps!

Answer 2 · 2018-04-27T02:30:58

$\sqrt{24} = 2 \sqrt{6}$ $sqrt24=color(blue)(2sqrt6$

Simplify:

$\sqrt{24}$ $sqrt24$

Prime factorize $24$ $24$ .

$\sqrt{24} = \sqrt{2 \times 2 \times 2 \times 3}$ $sqrt24=sqrt(2xx2xx2xx3)$

Group the same prime factors into pairs.

$\sqrt{24} = \sqrt{(2 \times 2) \times 2 \times 3}$ $sqrt24=sqrt((2xx2)xx2xx3)$

Rewrite the pair in exponent form.

$\sqrt{24} = \sqrt{2^{2} \times 2 \times 3}$ $sqrt24=sqrt(2^2xx2xx3)$

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

$\sqrt{24} = 2 \sqrt{6}$ $sqrt24=2sqrt6$

How do you simplify √24sqrt24?