1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DENIUS [597]
2 years ago
9

Perform the multiplication. Simplify the answers. 2 √30*( √5+ √6+ √10+ √15)

Mathematics
1 answer:
Delicious77 [7]2 years ago
3 0

The simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

The expression is given as:

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2\sqrt{30} \times \sqrt5+  2\sqrt{30} \times \sqrt6+  2\sqrt{30} \times \sqrt{10} +  2\sqrt{30} \times \sqrt{15}

Factor out 2

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{30} \times \sqrt5+  \sqrt{30} \times \sqrt6+  \sqrt{30} \times \sqrt{10} +  \sqrt{30} \times \sqrt{15})

Combine the radicals

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{150} +  \sqrt{180}+  \sqrt{300} +  \sqrt{450})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{25 \times 6} +  \sqrt{9 \times 20}+  \sqrt{100 \times 3} +  \sqrt{225\times 2})

Evaluate the roots

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(5\sqrt{6} +  3\sqrt{20}+  10\sqrt{3} +  15 \sqrt{2})

Expand

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) =10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Hence, the simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Read more about simplified expressions at:

brainly.com/question/8008182

You might be interested in
The quotient of eight and a number h is written as
Aleonysh [2.5K]
The quotient of 8 and h is written as 8/h
8 0
3 years ago
Read 2 more answers
Mr. peters buys 3 1/4 pound of grapes for $4.55 what is the unit cost of the grapes
anastassius [24]
Divide 3 1/4 with 4.55
6 0
3 years ago
(a) A natural number that is greater than 25 and less than 40
zloy xaker [14]

<u>Step-by-step explanation:</u>

(a) A natural number that is greater than 25 and less than 40

Natural Number : These are numbers starting from 1 or also sometimes from zero and are all positive !  A natural greater than 25 & less than 40 is 30 .

(b) An integer which is less than -5 and a multiple of 2

Integer : An integer is a whole number not a fraction including 0 . It can be positive or negative ! Integer less than -5 and a multiple of 2 is -6.

(c) A rational number between 1 and 2

Rational Number : A number which can be expressed in form of p/q where q is not equal to 0 . A rational number between 1 & 2 is 3/2 .

(d) An irrational number between 8 and 9.​

Irrational Number: A real number which is not rational or can't be written in form of p/q . An irrational number between 8 & 9 is 6\sqrt{2} .

5 0
3 years ago
If a tree diagram were drawn to determine the number of possible outcomes when choosing one of 2 shirts, one of 7 ties , and one
uysha [10]
2x7x4=56

brainliest G:)))))))

8 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE VERY QUICKLY<br> WITH WORK SHOWN
Lunna [17]
Angles 1 and 3 are the answers
5 0
3 years ago
Other questions:
  • I need to know how to do all 4 of these problems and i'm stuck
    9·1 answer
  • 3 marker cost 5.79 which equation would help determine the cost of 13 markers
    10·1 answer
  • There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta
    12·2 answers
  • How many 50 cents coins are there in $10:50​
    6·1 answer
  • Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) sin(2x
    10·1 answer
  • Can someone plz help me find the vertex and the stretch factor
    11·1 answer
  • “Puppies are cute animals.”<br> 1. Write the quote as a conditional statement.
    15·1 answer
  • Anita made these two statements.
    15·1 answer
  • Please help<br> Me anybody plz
    7·1 answer
  • Find the product of 6/4 × 12/5​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!