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Lerok [7]
3 years ago
5

What is the exact value of the expressions the square root of 180. − the square root 125. + the square root of 5.? Simplify if p

ossible.
A) 2the square root of 2.
B) 12the square root of 2.
C) 2the square root of 5.
D) 12the square root of 5.

Mathematics
2 answers:
blagie [28]3 years ago
8 0

Answer:

2\sqrt{5}

C is the correct option.

Step-by-step explanation:

The given expression is \sqrt{180}-\sqrt{125}+\sqrt{5}

In order to simplify the expression, we find the factors.

180 =6 ×6×5

125 = 5 ×5×5

Hence, we can rewrite the expression as

\sqrt{6\times6\times5}-\sqrt{5\times5\times5}+\sqrt{5}

We can further write this expression as

\sqrt{6^2\times5}-\sqrt{5^2\times5}+\sqrt{5}

Now, we can use the rule \sqrt{x^2}=x

6\sqrt{5}-5\sqrt{5}+\sqrt{5}

Finally, we can combine these like terms

2\sqrt{5}

Hence, C is the correct option.

Temka [501]3 years ago
4 0
I hope this helps you

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Answer:

What was the problem?

Step-by-step explanation:

Oh ok , I G u e s s it is solved already.

8 0
3 years ago
A cube-shaped box has a volume of 125 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cub
harina [27]

I am not sure if I am right, but this is the best I can answer.


Useing reason, and logic, my guess would be if you take 125, and divided it by 4, you would get 31.25. that should be the answer... if i am wrong, i am truely sorry. I havent been in the subject in a while...


                                                           Hope this helps.


6 0
3 years ago
Interest rate on a credit card is 1/2%. is 1/2% less then,equal to,or greater then 0.005? explain
andreev551 [17]
It’s is greater it would only be equal if you multiplied it by 100
4 0
2 years ago
Brad invests $3700 in an account paying 3% compounded monthly. How much is in the account after 8 months?
Ymorist [56]

Answer:

Amount after 8 month (A) = $3775 (Approx)

Step-by-step explanation:

Given:

Amount invested (P) = $3,700

Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly

Number of month (n) = 8 month

Find:

Amount after 8 month (A)

Computation:

A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676

Amount after 8 month (A) = $3775 (Approx)

5 0
3 years ago
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Akimi4 [234]

Answer:

y= x + cosx

Step-by-step explanation:

cosx\frac{\mathrm{d}y }{\mathrm{d} x}+(sinx)y-1=0\\cosx\frac{\mathrm{d}y }{\mathrm{d} x}+(sinx)y=1\\\frac{\mathrm{d}y }{\mathrm{d} x}+(tanx)y=secx

now equation is in linear differential form

finding integrating factor;

I.F. = e^{\int tanx dx} = e^{ln\ secx} = secx

y=\frac{1}{I.F}(\int Q dx + c)

y=\dfrac{1}{secx}(\int secx dx + c)

y=\int  dx + c(cosx)\\y= x + c(cosx)

using  y(0) = 1

1 = 0 +  c(cos 0)

c = 1

hence solution becomes

y= x + cosx

4 0
3 years ago
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