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
AURORKA [14]
2 years ago
5

If √5+√2=a+b√10 find a and b​

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
4 0

Answer:

Firstly, we'll apply the below identity.

{\boxed{\sf{(a+b)^{2} = a^{2} + b^{2} +2ab}}}

Applying the above identity.

⇒ (√5 + √2)²

⇒ (√5)² + (√2)² + 2×(√5)×(√2)

⇒ 5 + 2 + 2√10

⇒ 7 + 2√10

Comparing the LHS and RHS

⇒ 7 + 2√10 = a + b√10

∴ a = 7 and b = 2.

You might be interested in
Chantelle bought grapes at 0.85 per pound. She purchased 7 pounds. What was the total cost. Round your answer to the nearest pen
Gelneren [198K]

Answer:

$5.95

Step-by-step explanation:

7 · 0.85 = 5.95

4 0
3 years ago
Name at least four benchmarks angle measurements
Mumz [18]
90 degrees
180 degrees
360 degrees
0 degrees
7 0
4 years ago
Read 2 more answers
What does it mean to be a standard deviation away from the mean?
Helga [31]
Mean can also be thought of as average.

Standard deviation is a bit more difficult to describe. It is a statistic that can help measure how spread out the data gets.

Depending on the distribution, data within 1 standard deviation of the mean can be considered fairly common and expected. Essentially it tells you that data is not exceptionally high or exceptionally low.

8 0
3 years ago
8. It takes 15 minutes for one person to play one game of bowling. Predict how many games he could
Natalka [10]

Answer:

56 games

Step-by-step explanation:

1 game in 15 minutes, 4x15=60 minutes (an hour)

so, u get 4 games in one hour. now multiply 4 games by 14 hours to get 56

7 0
3 years ago
Read 2 more answers
Plz Answer This Mathematics Question??? NEED HELP ASAP
DanielleElmas [232]

Step-by-step explanation:

This is the answer in that picture

3 0
3 years ago
Read 2 more answers
Other questions:
  • g In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on equally spaced slots. If a pla
    14·1 answer
  • Does anyone know this?
    15·2 answers
  • Choose the correct answers. Carla Compra borrowed $800 at 14% for one year. She paid a $15 processing fee.
    11·2 answers
  • PLZZ HELPPPP!!!! (;´д`)ゞ(;´д`)ゞ
    12·1 answer
  • It takes Turbo, the snail, 20 minutes to travel from his favorite garage to the plant. Which is a trip of about 30 meters, how f
    12·1 answer
  • This is urgent, please answer!
    9·1 answer
  • Need Help Please, This One Is A Bit Difficult.
    5·2 answers
  • What is the value of n^-4 w^0 for n=-2 and w=5?
    9·1 answer
  • Which kind of triangle is shown
    10·2 answers
  • What's the distance between (0,2) and (0,8)?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!