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
noname [10]
3 years ago
8

Simplify Sqrt 3 ( sqrt 6 + sqrt 15) Pls explain how u did it!

Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

= 3 (\sqrt{2}  +\sqrt{5})

Step-by-step explanation:

\sqrt{3} (\sqrt{6}*\sqrt{15}  )

When you have to simplify an expression, always try to find a common number, even if it isnt the solution to a problem is always a good strategy.

Here the 3 numbers are multiple of 3. So your first idea should be to do something with sqrt 3

\\ \sqrt{3} (\sqrt{2}\sqrt{3}  +\sqrt{5} \sqrt{3} )\\= \sqrt{3} ((\sqrt{2}  +\sqrt{5}) \sqrt{3} )\\= \sqrt{3} (\sqrt{3}) (\sqrt{2}  +\sqrt{5}) \)\\= 3 (\sqrt{2}  +\sqrt{5})

In this case it works, sometimes it doesnt, but its always a good start point

You might be interested in
A tank containing 64 gallons lost 6 1/4% of this through leakage how much is remaining is the tank
jolli1 [7]

if we take 64 to be the 100%, how much is 6¼% off of it?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{25}{4}}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}

4 0
3 years ago
Read 2 more answers
What integer is equivalent to93/2
Setler79 [48]
Answer:
46 with a remainder of .5
8 0
3 years ago
Read 2 more answers
Geometry.
Harman [31]
Check the picture below.

8 0
3 years ago
How is a dollar hdhxnndnxnxnrxncnbcb thxjjchxnfnxbc
11Alexandr11 [23.1K]

Answer:

uhm idk..... it's 4 quarters, or 100 pennies, or 10 dimes, or 20 nickels

i don't know what ur asking sorryyyy

Step-by-step explanation:

8 0
3 years ago
Wich expression can be used to find the slope of a line containing the points (-3,2) and (7,-1)
docker41 [41]
A(x_1;\ y_1);\ B(x_2;\ y_2)\\\\\text{The slope:}\ m=\dfrac{y_2-y_1}{x_2-x_1}


\text{We have:}\\(-3;\ 2)\to\ x_1=-3;\ y_1=2\\(7;\ -1)\to x_2=7;\ y_2=-1

\text{substitute}\\\\m=\dfrac{-1-2}{7-(-3)}=\dfrac{-3}{10}=-\dfrac{3}{10}
6 0
3 years ago
Other questions:
  • The Jeffersons just finished eating dinner at their favorite restaurant. The family group consists of a grandfather, mother, fat
    15·1 answer
  • 5.<br> Find the distance between the given points.<br> A = (2, 0) and B = (0,9)
    6·2 answers
  • The amount of grazing land available for each cow varies inversely with the
    9·1 answer
  • Factor - 1/6 out of - 1/3x + 5/6y
    13·1 answer
  • Alegbra- How can I solve #5?
    15·1 answer
  • Can someone please help i will mark brainliest i need help asap.
    5·2 answers
  • Help please and don’t answer randomly I really need this done!!! ASAP!!! I’ll mark you brainlest!!
    5·2 answers
  • Last part of my brothers homework
    8·1 answer
  • How do you calculate slope from a table?
    9·1 answer
  • My son wants to make and equilateral triangle with sticks and string. Explain how he could do this?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!