The value of the expression √125 will be 5√5.
We can first represent 125 as the product of its prime components in order to simplify the square root of that number. 5 x 5 x 5 is the prime factorization of 125. The quantity that, when multiplied by itself, equals 125 is known as the square root of 125. We may claim that the square root of 125 is 5√5, as 5 x 5 = 25, and 25 x 5 = 125.
Using the principle that the square root of a perfect square is the number itself, we may further reduce the square root of 125. Since 25 is a perfect square in this instance, its square root is just 5. Therefore, 5 √5 may also be used to represent the square root of 125.
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Answer:
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Step-by-step explanation:
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2. 6n-12
3. 12n-6
14) 5x7 - 12x +7 = 0
Solve by factoring
Answer:
see explanation
Step-by-step explanation:
(13)
v² - 11v + 18 = 0 ← in standard form
(v - 2)(v - 9) = 0 ← in factored form
Equate each factor to zero and solve for v
v - 2 = 0 ⇒ v = 2
v - 9 = 0 ⇒ v = 9
solutions are v = 2, v = 9
(14)
5x² - 12x + 7 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 7 = 35 and sum = - 12
The factors are - 5 and - 7
Use these factors to split the x- term
5x² - 5x - 7x + 7 = 0 ( factor the first/second and third/fourth terms )
5x(x - 1) - 7(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(5x - 7) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
5x - 7 = 0 ⇒ 5x = 7 ⇒ x =
solutions are x = 1, x =
-2(x+2) < 14
Answer:
x >-9
Step-by-step explanation:
-2 ( x + 2 ) < 14
Step 1 :- Distribute -2 .
-2x -4 < 14.
Step 2 :- Move constant to the right-hand side and change their sign . And flip the inequality sign.
-2x > 14 + 4
Step 3 :- Add 14 and 4.
-2x > 18
Step 4 :- Divide both side by -2.
-2x / - 2 > 18 / -2
x = -9
Answer:
I think the correct answer is
X<-9