Advertisements
Advertisements
Question
Simplify the following using addition and subtraction properties of surds:
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
Advertisements
Solution
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
= `3sqrt(5^2 xx 3) + 5sqrt(2^4 xx 3) - sqrt(3^5)`
= `3 xx 5sqrt(3) + 5 xx 2^2sqrt(3) - 3^2sqrt(3)`
= `15sqrt(3) + 20sqrt(3) - 9sqrt(3)`
= `(15 + 20 - 9)sqrt(3)`
= `(35 - 9)sqrt(3)`
= `26sqrt(3)`
APPEARS IN
RELATED QUESTIONS
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Simplify.
`sqrt 7 - 3/5 sqrt 7 + 2 sqrt 7`
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 the following using multiplication and division properties of surds:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
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)` =
`(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 ______
