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प्रश्न
Simplify the following using addition and subtraction properties of surds:
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
उत्तर
`3sqrt(75) + 5sqrt(48) - sqrt(243)`
= `3sqrt(5^2 xx 3) + 5sqrt(2^4 xx 3) - sqrt(3^5)`
= `3 xx 5sqrt(3) + 5 xx 2^2sqrt(3) - 3^2sqrt(3)`
= `15sqrt(3) + 20sqrt(3) - 9sqrt(3)`
= `(15 + 20 - 9)sqrt(3)`
= `(35 - 9)sqrt(3)`
= `26sqrt(3)`
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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`
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`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Simplify.
`4 sqrt 12 - sqrt 75 - 7 sqrt 48`
Simplify the following using multiplication and division properties of surds:
`sqrt(3) xx sqrt(5) xx sqrt(2)`
`4sqrt(7) xx 2sqrt(3)` =
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
