Advertisements
Advertisements
प्रश्न
Simplify the following using multiplication and division properties of surds:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
उत्तर
`root(3)(27) xx root(3)(8) xx root(3)(125) = root(3)(27 xx 8 xx 125)`
= `root(3)(3^3 xx 2^3 xx 5^3)`
= 3 × 2 × 5
= 30
APPEARS IN
संबंधित प्रश्न
Simplify.
`7 sqrt 48 - sqrt 27 - sqrt 3`
Simplify.
`sqrt 7 - 3/5 sqrt 7 + 2 sqrt 7`
Multiply and write the answer in the simplest form.
`3sqrt8 xx sqrt5`
Divide and write the answer in simplest form.
`sqrt98 ÷ sqrt 2`
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
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:
`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`
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(40) - sqrt(20)`
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
