Advertisements
Advertisements
Question
Multiply and write the answer in the simplest form.
`3 sqrt 12 xx sqrt 18`
Advertisements
Solution
`3 sqrt 12 xx sqrt 18`
`= 3 sqrt (4 xx 3) xx sqrt(9 xx 2)`
`=3xx2sqrt3xx3sqrt2`
`= 6 sqrt 3 xx 3 sqrt 2`
`= 18 sqrt 6`
APPEARS IN
RELATED QUESTIONS
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
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.
`sqrt98 ÷ sqrt 2`
Divide and write the answer in simplest form.
`sqrt 125 ÷ sqrt 50`
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 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:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
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(40) - sqrt(20)`
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)`
Which of the following statement is false?
`sqrt(27) + sqrt(12)` =
`4sqrt(7) xx 2sqrt(3)` =
The length and breadth of a rectangular plot are 5 × 105 and 4 × 104 metres respectively. Its area is ______
