Question

x² +6√x+10X square +
$x {}^{2} + 6 \sqrt{2} x + 10$
​

Answer 1

Answer:

$\red {x^{2} + 6\sqrt{2} x + 10}$

$\green {= (x+5\sqrt{2})(x+\sqrt{2}) }$

Step-by-step explanation:

$x^{2} + 6\sqrt{2} x + 10$

/* Splitting the middle term,we get

$= x^{2} + 5\sqrt{2} x + \sqrt{2} x + 5\times \sqrt{2} \times \sqrt{2}$

$= x( x + 5\sqrt{2}) + \sqrt{2} (x+5\sqrt{2})$

$= (x+5\sqrt{2})(x+\sqrt{2})$

Therefore.,

$\red {x^{2} + 6\sqrt{2} x + 10}$

$\green {= (x+5\sqrt{2})(x+\sqrt{2}) }$

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