Advertisements
Advertisements
प्रश्न
When `(2sqrt(5) - sqrt(2))^2` is simplified, we get
विकल्प
`4sqrt(5) + 2sqrt(2)`
`22 - 4sqrt(10)`
`8 - 4sqrt(10)`
`2sqrt(10) - 2`
Advertisements
उत्तर
`22 - 4sqrt(10)`
Explanation;
Hint:
`(2sqrt(5) - sqrt(2))^2 = (2sqrt(5))^2 + (sqrt(2))^2 - 2 xx 2sqrt(5) xx sqrt(2)`
= `20 - 4sqrt(10) + 2`
= `22 - 4sqrt(10)`
APPEARS IN
संबंधित प्रश्न
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.
`3sqrt8 xx sqrt5`
Multiply and write the answer in the simplest form.
`5 sqrt 8 xx 2 sqrt 8`
Divide and write the answer in simplest form.
`sqrt 125 ÷ sqrt 50`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
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:
`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`
Simplify the following using multiplication and division properties of surds:
`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`
Which of the following statement is false?
