Advertisements
Advertisements
Question
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
Advertisements
Solution
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
`= 5 sqrt 5 + sqrt (25 xx 5)`
`= 5sqrt 5 + 5 sqrt 5`
`= 10 sqrt 5`
APPEARS IN
RELATED QUESTIONS
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Multiply and write the answer in the simplest form.
`3sqrt 12 xx 7 sqrt 15`
Divide and write the answer in simplest form.
`sqrt98 ÷ sqrt 2`
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.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
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:
`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`
Simplify the following using addition and subtraction properties of surds:
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
Simplify the following using multiplication and division properties of surds:
`sqrt(3) xx sqrt(5) xx sqrt(2)`
Simplify the following using multiplication and division properties of surds:
`sqrt(35) ÷ sqrt(7)`
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)`
