Advertisements
Advertisements
प्रश्न
State whether the following number is rational or irrational
`(3 + sqrt(3))^2`
उत्तर
`(3 + sqrt(3))^2`
= `(3)^2 + (sqrt(3))^2 + 2 xx 3 xx sqrt(3)`
= 9 + 3 + 6`sqrt(3)`
= 12 + 6`sqrt(3)`, which is irrational
APPEARS IN
संबंधित प्रश्न
Prove that the following is irrational:
`1/sqrt2`
Give an example of two irrational numbers whose:
quotient is a rational number.
Prove that of the numbers `2 + sqrt (5)` is irrational:
State whether the given statement is true or false:
1 .The sum of two irrationals is an irrational
Which of the following is a correct statement?
State whether the following statement is true or false. Justify your answer.
Every point on the number line is of the form `sqrt m`, where m is a natural number.
Prove that the following number is irrational: 3 - √2
Compare the following:
`root(4)(12) and root(3)(15)`
Compare the following:
`root(3)(48) and sqrt(36)`
Classify the following number as rational or irrational with justification:
`3sqrt(18)`
