Question

15 | the quadratic formula.
3013.b
find the exact value of each expression.
\\(\sqrt{40} - \sqrt{90} + \sqrt{250}\\)
answer

Explanation:

Step1: Simplify each square root

Simplify $\sqrt{40}$, $\sqrt{90}$, and $\sqrt{250}$ by factoring out perfect squares.
$\sqrt{40}=\sqrt{4\times10}=2\sqrt{10}$
$\sqrt{90}=\sqrt{9\times10}=3\sqrt{10}$
$\sqrt{250}=\sqrt{25\times10}=5\sqrt{10}$

Step2: Substitute and combine like terms

Substitute the simplified forms into the original expression:
$2\sqrt{10}-3\sqrt{10}+5\sqrt{10}$
Combine the coefficients of $\sqrt{10}$:
$(2 - 3 + 5)\sqrt{10}=(4)\sqrt{10}=4\sqrt{10}$

Answer:

$4\sqrt{10}$