Advertisements
Advertisements
प्रश्न
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
उत्तर
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
`= 5sqrt 3 + 2 sqrt (9 xx 3) +1/sqrt3 xx sqrt 3/sqrt 3`
`= 5sqrt 3 + 6sqrt 3 +sqrt3/3`
`=(5+6+1/3)sqrt3`
`= (11 + 1/3)sqrt3`
`= ((33 + 1)/3)sqrt3`
`= 34/3sqrt 3`
APPEARS IN
संबंधित प्रश्न
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Simplify.
`sqrt 7 - 3/5 sqrt 7 + 2 sqrt 7`
Multiply and write the answer in the simplest form.
`3sqrt8 xx sqrt5`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
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:
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
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:
`sqrt(35) ÷ sqrt(7)`
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)`
The length and breadth of a rectangular plot are 5 × 105 and 4 × 104 metres respectively. Its area is ______
