Question

factorise 7 root 2 k square - 10 k - 4 root 2

Answer 1

Answer : ( 7 k + 2√2 )( √2 k - 2 )

Step-by-step explanation :

= 7√2 k² - 10 k - 4√2

To factories we will use middle split method.

Here, product of 1st and 3rd term must be equal to the product of splitted 2nd terms.

In simple words,

7√2 k² × ( - 4√2 ) = - 28 × 2 k²

= - 56 k²

and - 10 k = - 14 k + 4 k

Here, - 14 k × 4 k = - 56 k² and

- 14 k + 4k = - 10 k

Returning to solution,

= 7√2 k² - 14 k + 4 k - 4√2

= 7 k (√2 k - 2 ) + 2√2 (√2 k - 2 )

= ( 7 k + 2√2 )( √2 k - 2 )

Answer 2

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QUESTION :)

✔✔factorise 7 root 2 k square - 10 k - 4 root 2

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✔✔✔ANSWERS :)

Answer : ( 7 k + 2√2 )( √2 k - 2 *

Step-by-step explanation :

= 7√2 k² - 10 k - 4√2

To factories we will be reduced use middle split method.

Here, product of 1st and I will be 3rd term must be equal to the product of splitted 2nd terms.

In simple words,

7√2 k² × ( - 4√2 ) = - 28 × 2 k²

= - 56 k²

and - 10 k = - 14 k + 4 k

Here, - 14 k × 4 k = - 55 k² and

- 14 k + 4k = - 100 k

Returning to solution,

= 7√2 k² - 14 k + 4 k - 4√2

= 7 k (√2 k - 2 ) + 2√2 (√2 k - 2 )

= ( 7 k + 2√2 )( √2 k - 2 *


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