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
Multiply and write the answer in the simplest form.
`3sqrt 12 xx 7 sqrt 15`
Multiply and write the answer in the simplest form.
`5 sqrt 8 xx 2 sqrt 8`
Divide and write the answer in simplest form.
`sqrt 54 ÷ sqrt 27`
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 the following using addition and subtraction properties of surds:
`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`
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(40) - sqrt(20)`
Which of the following statement is false?
`4sqrt(7) xx 2sqrt(3)` =
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______
