Advertisements
Advertisements
Question
`sqrt(27) + sqrt(12)` =
Options
`sqrt(39)`
`5sqrt(6)`
`5sqrt(3)`
`3sqrt(5)`
Solution
`3sqrt(5)`
Explanation;
Hint:
`sqrt(27) + sqrt(12) = sqrt(9 xx 3) + sqrt(3 xx 4)`
= `3sqrt(3) + 2sqrt(3)`
= `5sqrt(3)`
APPEARS IN
RELATED QUESTIONS
Simplify.
`sqrt 7 - 3/5 sqrt 7 + 2 sqrt 7`
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`
Divide and write the answer in simplest form.
`sqrt 125 ÷ sqrt 50`
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
Simplify.
`4 sqrt 12 - sqrt 75 - 7 sqrt 48`
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:
`sqrt(35) ÷ sqrt(7)`
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)`
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______