Question

simplify 3 - 2 root 2 by 3 + 2 root 2 by rationalizing the denominator​

Answer 1

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Simplify $\frac{3-2 \sqrt{2}}{3+2 \sqrt{2}}$ By rationalizing the denominator

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★Multiply the denominator and numerator by 3-2√2★

→$\frac{3-2 \sqrt{2}×3-2 \sqrt{2}}{3+2 \sqrt{2}×3-2 \sqrt{2}}$

♦(a-b)(a-b)=(a-b)² | (a+b)(a-b)=a²-b²♦

→$\frac{(3-2 \sqrt{2})^2}{(3)^2-(2 \sqrt{2})^2}$

→$\frac{9-12 \sqrt{2}+8}{9-8}$

→$\frac{17-12 \sqrt{2}}{1}$

$\rule{200}{1}$

★RATIONALIZED★