Ask question

Ask question

All categories

3 years ago

11

What is the square root of 216?

1 answer:

KATRIN_1 [288]3 years ago

5 0

$\sqrt{216}=\sqrt{36\cdot6}=\sqrt{36}\cdot\sqrt6=6\sqrt6$

$216|2\\108|2\\.\ 54|2\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1\\\\216=2^2\cdot3^2\cdot2\cdot3\\\\\sqrt{216}=\sqrt{2^2\cdot3^2\cdot2\cdot3}=\sqrt{2^2}\cdot\sqrt{3^2}\cdot\sqrt6=2\cdot3\cdot\sqrt6=6\sqrt6$

You might be interested in

Thirty percent (30%) of the bulbs in a large box are defective. If 12 bulbs are selected randomly from the box, calculate the pr

AleksandrR [38]

The probability that exactly 6 are defective is 0.0792.

Given:

30% of the bulbs in a large box are defective.

If 12 bulbs are selected randomly from the box.

To find:

The probability that exactly 6 are defective.

Solution:

Probability of defective bulbs is:

$p=30\%$

$p=\dfrac{30}{100}$

$p=0.3$

Probability of non-defective bulbs is:

$q=1-p$

$q=1-0.3$

$q=0.7$

The probability that exactly 6 are defective is:

$P(x=r)=^nC_rp^rq^{n-r}$

$P(x=6)=^{12}C_6(0.3)^6(0.7)^{12-6}$

$P(x=6)=924(0.3)^6(0.7)^{6}$

$P(x=6)=0.0792478958$

$P(x=6)\approx 0.0792$

Therefore, the probability that exactly 6 are defective is 0.0792.

Learn more:

brainly.com/question/12917164

8 0

3 years ago

7.8x = 32.76<br><br><br> Show your work

castortr0y [4]

Answer:

x=4.2

Step-by-step explanation:

7.8x = 32.76

/7.8 /7.8

x=4.2

6 0

3 years ago

Which identify could be used to rewrite the expression x6-27

hammer [34]

The differnce of 2 perfect cubes

remember
a³-b³=(a-b)(a²+ab+b²)

so
$(x^2)^3-(3)^3=(x^2-3)(x^2+3x+9)$

3 0

3 years ago

Please help me on this thank you so much

konstantin123 [22]

The answe is 32 over x

7 0

3 years ago

Please help ASAP!!!!!!!

aleksklad [387]

Answer:

i think 1st no. option but i am not sure

5 0

3 years ago