helpmewithmyhw24 helpmewithmyhw24
  • 31-12-2019
  • Mathematics
contestada

Given that the prime factorisation of 198 is 2x(3×3)x11. State the minimum integer value of
n such that square root of 198n is a natural number.​

Respuesta :

MathPhys
MathPhys MathPhys
  • 31-12-2019

Answer:

22

Step-by-step explanation:

198 = 2×3²×11

For 198n to be a perfect square, each prime factor must have an even exponent.  So the smallest 198n would be:

198n = 2²×3²×11²

198n = 4356

n = 22

Answer Link

Otras preguntas

YES PLS HELP ME WITH MY GEOMETRY
This ether can, in principle, be synthesized by two different combinations of haloalkane and metal alkoxide. Draw the combination of alkyl chloride and potassiu
RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0
Find the value of x in the given right triangle. Х 10 x = [? ]° Enter your answer as a decimal rounded to the nearest tenth.
How are biogas plants useful?
A blue sqaure is placed inside a large yellow square The centres of the squares are aligned one over the other one side of the square is (3x + 2)cm and the othe
help me find it plz!​
Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Factor x2 − 16. Show your work. (
If x= (√3+√2)/(√3-√2) , then find x+1/x
Compute the range and sample standard deviation for strength of the concrete​ (in psi). 3920​, 4090​, 3300​, 3100​, 2940​, 3830​, 4090​, 4030 The range is 1