check weather (√3-√243)^2 is rational or irrational.
Answers
Step-by-step explanation:
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ANSWER ✍️:The square of 243 is a number which when multiplied with itself results in the number 243. The square root of any positive number is a real number while the square of every negative number is an imaginary number. Now, let’s calculate the square root of 243 using various methods and solve some interesting problems as well for better understanding.
Square root of 243: √243 = 15.58845
Square of 243: (243)2= 59049
What is the Square Root of 243?
The square root of 243 in decimal form is 15.5884.
The square root of 243 is written as √243 in radical form.
The square root of 243 is written as (243)1/3in exponential form.
Is Square Root of 243 Rational or Irrational?
A rational number is a number that can be written in the ratio of two integers p/q where q ≠ 0. We can’t write the square root of 243 in the form of p/q. Therefore, the square root of 243 is an irrational number.
How to Find the Square Root of 243?
Square Root of 243 Using Prime Factorization Method
Prime factorization of 243: 35
Prime factors of 243 in pairs: (3 × 3) × (3× 3) × 3
Square root of 243: √243 = √((3× 3)2× 3) = (3× 3)√3 = 3√3
hope this helps you☺️
√243 is rational
Step-by-step explanation:
check weather (√3-√243)^2 is rational or irrational