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प्रश्न
Simplify the following using multiplication and division properties of surds:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
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उत्तर
`root(3)(27) xx root(3)(8) xx root(3)(125) = root(3)(27 xx 8 xx 125)`
= `root(3)(3^3 xx 2^3 xx 5^3)`
= 3 × 2 × 5
= 30
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संबंधित प्रश्न
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
Multiply and write the answer in the simplest form.
`3 sqrt 12 xx sqrt 18`
Divide and write the answer in simplest form.
`sqrt 310 ÷ sqrt 5`
Simplify.
`4 sqrt 12 - sqrt 75 - 7 sqrt 48`
Simplify the following using addition and subtraction properties of surds:
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
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)`
Which of the following statement is false?
`sqrt(27) + sqrt(12)` =
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
