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प्रश्न
Multiply and write the answer in the simplest form.
`3 sqrt 12 xx sqrt 18`
उत्तर
`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`
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संबंधित प्रश्न
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
Simplify.
`4 sqrt 12 - sqrt 75 - 7 sqrt 48`
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:
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
Simplify the following using multiplication and division properties of surds:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
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)`
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______
