CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Expressing Decimals as Rational Numbers

Number of rat...

Question

Number of rational term is the expansion of ${(7^{1 / 3} + 11^{1 / 9})}^{729}$

A

81

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

82

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

730

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 82
Since 7 and 11 are prime numbers, hence application of general formula for number of rational terms will be
$= 1 + \frac{729}{L . C . M (3, 9)}$
$= 1 + \frac{729}{9}$
$= 1 + 81$
$= 82$ rational terms.

Suggest Corrections

thumbs-up

0

Similar questions

Q. The number of rational terms in the expansion of

{⎛ ⎜ ⎝ 3^{\frac{1}{4}} + 7^{\frac{1}{6}} ⎞ ⎟ ⎠}^{144}

Q. The number of integral terms in the expansion of

{(7^{1 / 3} + 11^{1 / 9})}^{6561}

Q. In the expansion of

{[7^{1 / 3} + 11^{1 / 9}]}^{6561}

, the number of terms free from radicals is

Q. The number of rational terms in the expansion of the

{(7^{\frac{1}{9}} + 13^{\frac{1}{11}})}^{1980}

Q. In the expansion of

(7^{\frac{1}{3}} + 11^{\frac{1}{9}})^{6561}

,

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Decimal Representation of Rational Numbers

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Expressing Decimals as Rational Numbers

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon