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`
Multiply and write the answer in the simplest form.
`3sqrt8 xx sqrt5`
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.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
Simplify the following using addition and subtraction properties of surds:
`5sqrt(3) + 18sqrt(3) - 2sqrt(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:
`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`
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:
`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)`
Which of the following statement is false?
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
The length and breadth of a rectangular plot are 5 × 105 and 4 × 104 metres respectively. Its area is ______
