Advertisements
Advertisements
प्रश्न
Simplify the following using multiplication and division properties of surds:
`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`
Advertisements
उत्तर
`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`
= `[ sqrt((3^2 xx 5^2)/(3^2 xx 3^2 xx 3^2)) - sqrt((5^2)/(2^2 xx 2^2 xx 3^2))] ÷ sqrt(2^4/3^4)`
= `[(3 xx 5)/(3 xx 3 xx 3) - 5/(2 xx 2 xx 3)] ÷ 2^2/3^2`
= `[5/9 - 5/12] ÷ 4/9`
= `((20 - 15)/36) ÷ 4/9`
= `5/36 xx 9/4`
= `(5 xx 1)/(4 xx 4)`
= `5/16`
APPEARS IN
संबंधित प्रश्न
Multiply and write the answer in the simplest form.
`3 sqrt 12 xx sqrt 18`
Multiply and write the answer in the simplest form.
`3sqrt 12 xx 7 sqrt 15`
Multiply and write the answer in the simplest form.
`3sqrt8 xx sqrt5`
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
Simplify the following using addition and subtraction properties of surds:
`5sqrt(3) + 18sqrt(3) - 2sqrt(3)`
Simplify the following using addition and subtraction properties of surds:
`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`
Simplify the following using addition and subtraction properties of surds:
`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`
`sqrt(27) + sqrt(12)` =
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
