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olchik [2.2K]
1 year ago
14

The answer is red show step by step of the pro tem to get the answer

Mathematics
1 answer:
miskamm [114]1 year ago
3 0

In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.

9)

\frac{5\sqrt{4}}{\sqrt{3}}(\cdot\sqrt{3})=\frac{5\sqrt{4}\sqrt{3}}{(\sqrt{3})^2}=\frac{5\cdot2\cdot\sqrt{3}}{3}=\frac{10\sqrt{3}}{3}

10)

-\frac{5}{3\sqrt{2}}(\cdot\sqrt{2})=-\frac{5\sqrt{2}}{3(\sqrt{2})^2}=-\frac{5\sqrt{2}}{3\cdot2}=-\frac{5\sqrt{2}}{6}

11)

\frac{2\sqrt{3}}{4\sqrt{5}}(\cdot\sqrt{5})=\frac{2\sqrt{3}\sqrt{5}}{4(\sqrt{5})^2}=\frac{2\sqrt{15}}{4\cdot5}=\frac{\sqrt{15}}{2\cdot5}=\frac{\sqrt{15}}{10}

12)

\frac{\sqrt{5}}{\sqrt{2}}(\cdot\sqrt{2})=\frac{\sqrt{5}\sqrt{2}}{(\sqrt{2})^2}=\frac{\sqrt{10}}{2}

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Given the regular octagon, what is the length of any side?
Jlenok [28]

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

3 0
3 years ago
Read 2 more answers
The product of the roots of the equation x2 + x=2 is:<br> 0-2<br> 01
gregori [183]

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

x=1        x = -2

Product of the roots

1*-2 = -2

5 0
3 years ago
Simplify 4+2 squared
Tanya [424]
4+2^2
=4+(2×2)
=4+(4)
=4+4
=8

or

(4+2)^2
=(4+2) × (4+2)
=16+8+8+4
=36

hope this helps!! please make my answer brainliest to help me out, thx!!
5 0
4 years ago
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How do i round 981,657 to the nearest ten thousand ?
Arlecino [84]
Since it is under 985,000, you would round it down. So your answer rounded to the nearest ten thousand would be 980,000
6 0
3 years ago
Help? :,) I know it might look easy but not for me!!
ehidna [41]
The answer is c = 11mm
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