What is the simplified form of √48°n?
The simplified form of √48°n is 4√3n.
Is there a degree symbol in 4√3n?
Apologies for the confusion in my previous response. The correct simplified form is √48n, which simplifies to 4√3n. There is no degree symbol in this expression. Thank you for pointing that out.
The answers are,
A: 4n^3√3
B: 4n^4√3n
C: 3n√4n^8
D: 4√3n^9
The correct simplified form of √48°n is D: 4√3n^9. Thank you for providing the correct options.
What is the simplified form of 3√5c x √15c^3?
A: 15c^2√3
B: 6c^2√5
C: 5c^2√3
D: 12c^4√5
To simplify the expression 3√5c * √15c^3, we can multiply the coefficients and combine the square roots:
3 * √5c * √15c^3
= 3 * √(5 * 15 * c * c^3)
= 3 * √(75c^4)
= 3 * √(25 * 3 * c^4)
= 3 * √(25) * √(3) * √(c^4)
= 3 * 5 * √(3) * c^2
= 15c^2√3
Therefore, the simplified form of 3√5c * √15c^3 is A: 15c^2√3.
Which radical expression is in simplified form?
A: 11y/(√3)
B: (√6)/5y
C: √17/√4
D: √25/81
To determine which radical expression is in simplified form, we need to simplify each option:
A: 11y/(√3) = (11y√3)/(√3*√3) = 11y√3/3 = (11√3y)/3
B: (√6)/5y is already simplified, as the square root cannot be simplified further.
C: √17/√4 = √17/2 = (1/2)√17
D: √25/81 = 5/9
Among the options provided, Option B: (√6)/5y is in simplified form.