Advertisements
Advertisements
प्रश्न
Classify the following number as rational or irrational:
`(3+sqrt23)-sqrt23`
उत्तर
`(3+sqrt23)-sqrt23
= 3 + sqrt23 - sqrt23`
= 3
which is a rational number.
APPEARS IN
संबंधित प्रश्न
Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π = `c/d`. This seems to contradict the fact that π is irrational. How will you resolve this contradiction?
Simplify the following expressions:
`(5 + sqrt7)(5 - sqrt7)`
Express the following with rational denominator:
`1/(2sqrt5 - sqrt3)`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
Classify the following number as rational or irrational:
`(2sqrt7)/(7sqrt7)`
`1/(sqrt(9) - sqrt(8))` is equal to ______.
After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`sqrt(2)/(2 + sqrt(2)`
Simplify:
`(1/27)^((-2)/3)`
