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`
Divide and write the answer in simplest form.
`sqrt 125 ÷ sqrt 50`
Divide and write the answer in simplest form.
`sqrt 310 ÷ sqrt 5`
Simplify.
`4 sqrt 12 - sqrt 75 - 7 sqrt 48`
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 multiplication and division properties of surds:
`sqrt(3) xx sqrt(5) xx sqrt(2)`
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)`
`4sqrt(7) xx 2sqrt(3)` =
