Advertisements
Advertisements
प्रश्न
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
Advertisements
उत्तर
`(8^(1/3) xx 16^(1/3))/(32^(- 1/3)) = ((2^3)^(1/3) xx (2^4)^(1/3))/((2^5)^(-1/3))` ...[∵ (am)n = amn]
= `(2^(3 xx 1/3) xx 2^(4 xx 1/3))/(2^(5 xx -1/3))`
= `(2^(3/3 + 4/3))/(2^(-5/3))` ...`[∵ a^m/a^n = a^(m - n)]`
= `2^(7/3)/(2^(-5/3))`
= `2^(7/3 + 5/3)`
= `2^(12/3)`
= 24
= 16
APPEARS IN
संबंधित प्रश्न
Classify the following numbers as rational or irrational:
`2-sqrt5`
Simplify the following expressions:
`(3 + sqrt3)(3 - sqrt3)`
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Express the following with rational denominator:
`(3sqrt2 + 1)/(2sqrt5 - 3)`
Simplify `(7 + 3sqrt5)/(3 + sqrt5) - (7 - 3sqrt5)/(3 - sqrt5)`
Write the rationalisation factor of \[\sqrt{5} - 2\].
If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].
\[\sqrt{10} \times \sqrt{15}\] is equal to
Classify the following number as rational or irrational:
`1/sqrt2`
The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is ______.
