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sashaice [31]
3 years ago
15

Simplify the radical expression completely LaTeX: 3\sqrt{5}\:-\:3\sqrt{11}+2\sqrt{121}-3\sqrt{90}3 5 − 3 11 + 2 121 − 3 90 A. La

TeX: 5\sqrt{31}5 31 B. LaTeX: 3\sqrt{16}+\sqrt{15}-\:43 16 + 15 − 4 C. LaTeX: 3\sqrt{5}-3\sqrt{11}+22\:-9\sqrt{10}3 5 − 3 11 + 22 − 9 10 D. Cannot be simplified further Group of answer choices
Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

3\sqrt{5}\:-\:3\sqrt{11}+22-9\sqrt{10}

Step-by-step explanation:

Given

3\sqrt{5}\:-\:3\sqrt{11}+2\sqrt{121}-3\sqrt{90}

Required

Simplify the expression

3\sqrt{5}\:-\:3\sqrt{11}+2\sqrt{121}-3\sqrt{90}

Express the square root of 121 as 11

3\sqrt{5}\:-\:3\sqrt{11}+2 * 11-3\sqrt{90}

3\sqrt{5}\:-\:3\sqrt{11}+22-3\sqrt{90}

Express 90 as 9 * 10

3\sqrt{5}\:-\:3\sqrt{11}+22-3\sqrt{9 * 10}

Split the surd to 2

3\sqrt{5}\:-\:3\sqrt{11}+22-3\sqrt{9} * \sqrt10}

Express the square root of 9 as 3

3\sqrt{5}\:-\:3\sqrt{11}+22-3 * 3 * \sqrt10}

3\sqrt{5}\:-\:3\sqrt{11}+22-9 * \sqrt10}

3\sqrt{5}\:-\:3\sqrt{11}+22-9\sqrt{10}

Hence, the result of the expression is

3\sqrt{5}\:-\:3\sqrt{11}+22-9\sqrt{10}

You might be interested in
Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B
gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0
2 years ago
Help?????????????????
Law Incorporation [45]

Answer:

54 lbs.

Step-by-step explanation:

7 x 6 = 42

3 x 4 = 12

42+12=54

3 0
2 years ago
Please answer this, I’m a bit confused...
tatuchka [14]

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

3 0
2 years ago
702 001 in expanded form
OLga [1]
700,000+2,000+1, should be your answer.
3 0
3 years ago
Read 2 more answers
Can you help me please
MArishka [77]

Answer:

Step-by-step explanation:

(x^{-2})^3\\\\x^{-2*3}\\\\x^{-6}

(x^3)^2\\\\x^{3*2}\\\\x^6

x^{-2}*x^3\\\\x^{-2+3}\\\\x^1\\\\x

x^2*x^{-3}\\\\x^{2-3}\\\\x^{-1}\\\\\frac{1}{x}

x^2*x^3\\\\x^{2+3}\\\\x^5

Hope this helps!

6 0
2 years ago
Read 2 more answers
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