Question

simplify root of x^2-10x+25​

Answer 1

Required Answer:-

Given To Simplify:

$\rm \mapsto \sqrt{ {x}^{2} - 10x + 25 }$

Solution:

$\rm \sqrt{ {x}^{2} - 10x + 25 }$

$\rm = \sqrt{ {(x)}^{2} - 2 \times (x) \times (5) + {(5)}^{2} }$

$\rm = \sqrt{ {(x - 5)}^{2} }$

$\rm = {(x - 5)}^{ \cancel{2} \times^{1}/_{ \cancel{2}} }$

$\rm = \pm (x - 5)$

Hence, the simplified form is ±(x - 5)

Identity Used:

➡ (a - b)² = a² - 2ab + b²

Other Identities:

➡ (a + b)² = a² + 2ab + b²

➡ a² - b² = (a + b)(a - b)

➡ (a + b)² = (a - b)² + 4ab

➡ (a - b)² = (a + b)² - 4ab

➡ (a + b)² + (a - b)² = 2(a² + b²)

➡ (a + b)² - (a - b)² = 4ab

Answer 2

Answer:

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