Advertisements
Advertisements
Question
Simplify the following using addition and subtraction properties of surds:
`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`
Advertisements
Solution
`4root(3)(5) + 2root(3)(5) - 3root(3)(5) = (4 + 2 - 3) root(3)(5)`
= `(6 - 3) root(3)(5)`
= `3root(3)(5)`
APPEARS IN
RELATED QUESTIONS
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
Multiply and write the answer in the simplest form.
`5 sqrt 8 xx 2 sqrt 8`
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(35) ÷ sqrt(7)`
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:
`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`
Simplify the following using multiplication and division properties of surds:
`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`
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)`
