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Schach [20]
3 years ago
6

Is the product of 2 perfect squares always a perfect square?

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
<span> The product of two perfect squares is a perfect square.

Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>
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choose two numbers from the list 3,4,6,12. Explain the difference between finding the greatest common factor and the least commo
zepelin [54]
3 & 6 - LCM = 3. 3's multiples are 3, 6, 9,12, 16, etc. 6's multiples are 6, 12, 18, etc. therefore, the least common multiple is 6.
GCF - 3's factors are 1, 3, and 6's factors 1, 2, 3. so the greatest common factor is 3.

6 0
3 years ago
a student says that if 5x^2 = 20, then x must be equal to 2. do u agre or disagree with the student? justify your answer.​
inna [77]

Answer:

The student is correct.

Step-by-step explanation:

Given that 5x² = 20:

It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:

5x² = 20

5(2)² = 20

5(4) = 20

20 = 20

Therefore, the student is correct that x = 2.

7 0
2 years ago
What is an equation of the line that passes through the points (4,3) and (7,3)​
Vika [28.1K]

Answer:

y = 3

Step-by-step explanation:

find out the slope

m = (3-3)/(4-7)

m = 0

so the line is horizontal

passing through the point (x,3)

x can be any value

so the equation is

y = 3

6 0
3 years ago
Please help me i'm being timed
Evgen [1.6K]

To Find :-

  • The algebraic equations to solve the above problem .

Solution :-

Let ,

  • Large number = L
  • Small number = S

— According to first statement ,

  • L - S = 4
  • L - S - 4 = 0

— According to second statement ,

  • 3L + 4S = 54
  • 3L + 4S - 54 = 0 .

These equations matches with the second option b .

Option b is the correct answer.

7 0
3 years ago
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seropon [69]

Answer:

its B im pretty sure.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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