Advertisements
Advertisements
प्रश्न
Simplify the following using addition and subtraction properties of surds:
`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`
Advertisements
उत्तर
`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`
= `5root(3)(2^3 xx 5) + 2root(3)(5^3 xx 5) - 3root(3)(2^3 xx 2^3 xx 5)`
= `5 xx 2root(3)(5) + 2 xx 5root(3)(5) - 3 xx 2 xx 2root(3)(5)`
= `10root(3)(5) + 10root(3)(5) - 12root(3)(5)`
= `20root(3)(5) - 12root(3)(5)`
= `8root(3)(5)`
APPEARS IN
संबंधित प्रश्न
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
Simplify the following using multiplication and division properties of surds:
`sqrt(35) ÷ sqrt(7)`
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"))`
Simplify the following using multiplication and division properties of surds:
`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`
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)`
Which of the following statement is false?
`4sqrt(7) xx 2sqrt(3)` =
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______
The length and breadth of a rectangular plot are 5 × 105 and 4 × 104 metres respectively. Its area is ______
