Advertisements
Advertisements
Question
Multiply and write the answer in the simplest form.
`3sqrt 12 xx 7 sqrt 15`
Solution
`3sqrt 12 xx 7 sqrt 15`
`= 3 sqrt (4 xx 3) xx 7 sqrt(5xx3)`
`=3xx2xxsqrt3xx7sqrt5xxsqrt3`
`=3xx2xx7xxsqrt3xxsqrt3xxsqrt5`
`=42xx3xxsqrt5`
`= 126 sqrt 5`
APPEARS IN
RELATED QUESTIONS
Simplify.
`7 sqrt 48 - sqrt 27 - sqrt 3`
Multiply and write the answer in the simplest form.
`5 sqrt 8 xx 2 sqrt 8`
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
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:
`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`
Which of the following statement is false?
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______