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
Divide and write the answer in simplest form.
`sqrt 310 ÷ sqrt 5`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
Simplify.
`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`
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:
`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`
Simplify the following using multiplication and division properties of surds:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
Simplify the following using multiplication and division properties of surds:
`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`
If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.
`sqrt(300) + sqrt(90) - sqrt(8)`
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
