C-10-Q131mediumsingle_mcq

The rationalized form $\dfrac{128}{2 + \sqrt{3}}$ equals—

a $256 + 128\sqrt{3}$ m
b $256 - 128\sqrt{3}$ m
c $64 + 32\sqrt{3}$ m
d $128 - 64\sqrt{3}$ m

ব্যাখ্যা

Multiplying numerator and denominator by the conjugate $2-\sqrt{3}$ gives a denominator of $2^2-(\sqrt{3})^2=4-3=1$ , so the expression simplifies to $128(2-\sqrt{3})=256-128\sqrt{3}$ .

এই অধ্যায়ের আরও প্রশ্ন

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Chapter 10: Distance and Elevation — সব প্রশ্ন দেখুন (160টি) →

The rationalized form $\dfrac{128}{2 + \sqrt{3}}$ equals—

256 + 128\sqrt{3}

256 - 128\sqrt{3}

64 + 32\sqrt{3}

128 - 64\sqrt{3}

ব্যাখ্যা

Multiplying numerator and denominator by the conjugate $2-\sqrt{3}$ gives a denominator of $2^2-(\sqrt{3})^2=4-3=1$ , so the expression simplifies to $128(2-\sqrt{3})=256-128\sqrt{3}$ .

The rationalized form 1282+3\dfrac{128}{2 + \sqrt{3}}2+3​128​ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The rationalized form 1282+3\dfrac{128}{2 + \sqrt{3}}2+3​128​ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The rationalized form $\dfrac{128}{2 + \sqrt{3}}$ equals—

The rationalized form $\dfrac{128}{2 + \sqrt{3}}$ equals—