Advertisements
Advertisements
प्रश्न
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
Advertisements
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.
`7 sqrt 48 - sqrt 27 - sqrt 3`
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`
Multiply and write the answer in the simplest form.
`5 sqrt 8 xx 2 sqrt 8`
Divide and write the answer in simplest form.
`sqrt98 ÷ sqrt 2`
Simplify.
`4 sqrt 12 - sqrt 75 - 7 sqrt 48`
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)`
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(40) - sqrt(20)`
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)`
`sqrt(27) + sqrt(12)` =
`4sqrt(7) xx 2sqrt(3)` =
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
The length and breadth of a rectangular plot are 5 × 105 and 4 × 104 metres respectively. Its area is ______
