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3 years ago

What's is the answer to √144

Mathematics

1 answer:

Korvikt [17]3 years ago

6 0

$\sqrt{144} = 12$
Means: 12×12

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√(112) - √(80) / √(20) - √(28) = ?

Evgesh-ka [11]

$\large\underline{\sf{Solution-}}$

<u>We need to solve,</u>

$\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}$

We can write the above mentioned expression as,

$\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}$

So,

$\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}$

So,

$\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}$

Hence,

$\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}$

Taking common in respective terms,

$\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}$

On cancelling 4 with 2,

$\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}$

$\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}$

Taking (-) common,

$\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}$

So, (√5 - √7) gets cut,

<u>Hence, </u>

$\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2$

8 0

3 years ago

How many people are female OR study French OR both

andre [41]

Answer:

42 are female, 28 people study french, 16 do both.

Step-by-step explanation:

16 french girls + 11 german + 16 spanish = 43 females

12 male french + 16 female french = 28

16 are under both catagories.

Cant help you with the probability

5 0

3 years ago

The diameter of a circle is 14 cm. What is the distance around the circle? Around your answer to the nearest hundred

IRINA_888 [86]

Answer:

C=43.98

Step-by-step explanation:

C=2piR

R=d/2

R=7

C=14pi=43.98

6 0

3 years ago

Read 2 more answers

What is 1.64 as a mixed number in simplest form

Vikentia [17]

1.64⇒ $1 \frac{64}{100}$

To reduce, find a common factor

64÷2=32 and 100÷2=50

It can be reduced again

32÷2=16 and 50÷2=25

Answer: $1 \frac{16}{25}$

8 0

3 years ago

On monday, 330 students went on a trip to the zoo. all 7 buses were filled and 8 students had to travel in cars. how many studen

GuDViN [60]

STEP 1
find total that travelled on buses; subtract number that went in cars from total number of students

= 330 total - 8 in cars
= 322 travelled in buses

STEP 2
divide 322 students among 7 buses

= 322 ÷ 7 buses
= 46 students per bus

ANSWER: 46 students travelled on each of the 7 buses.

Hope this helps! :)

6 0

3 years ago