Advertisements
Advertisements
Question
Simplify.
`7 sqrt 48 - sqrt 27 - sqrt 3`
Solution
`7 sqrt 48 - sqrt 27 - sqrt 3`
`=7 sqrt (16 xx 3) - sqrt (9 xx 3) - sqrt 3`
`= 7 xx 4 sqrt 3 - 3 sqrt 3 - sqrt 3`
`= 28 sqrt 3 - 3 sqrt 3 - sqrt 3`
`=(28-3-1)sqrt3`
`= 24 sqrt 3`
APPEARS IN
RELATED QUESTIONS
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
Multiply and write the answer in the simplest form.
`3sqrt8 xx sqrt5`
Divide and write the answer in simplest form.
`sqrt 310 ÷ sqrt 5`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
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)`
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:
`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______
