The value of -48 - -32-27 - -18 is4-33-434

The correct option is A 4/3 √(48) + √(32)/√(27) + √(18) =√(16 × 3) + √(16 × 2)/√(9 × 3) + √(9 × 2) =4√(3) + 4 √(2)/3 √(3) + 3√(2)=4(√(3) + √(2))/3(√(3) + √(2)) ...

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Byju's Answer

Standard IX

Mathematics

Rationalisation

The value of ...

Question

The value of $\frac{\sqrt{48} + \sqrt{32}}{\sqrt{27} + \sqrt{18}}$ is

$\frac{4}{3}$

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$\frac{3}{4}$

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Solution

The correct option is A
$\frac{4}{3}$

$\frac{\sqrt{48} + \sqrt{32}}{\sqrt{27} + \sqrt{18}} = \frac{\sqrt{16 \times 3} + \sqrt{16 \times 2}}{\sqrt{9 \times 3} + \sqrt{9 \times 2}}$

$= \frac{4 \sqrt{3} + 4 \sqrt{2}}{3 \sqrt{3} + 3 \sqrt{2}} = \frac{4 (\sqrt{3} + \sqrt{2})}{3 (\sqrt{3} + \sqrt{2})} = \frac{4}{3}$

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Similar questions

Q. The value of

\frac{\sqrt{48} + \sqrt{32}}{\sqrt{27} + \sqrt{18}}

Q. Rationalise the denominator and simplify

\frac{\sqrt{48} + \sqrt{32}}{\sqrt{27} - \sqrt{18}}

Q. Find the value of

\frac{\sqrt{32} + \sqrt{48}}{\sqrt{8} + \sqrt{12}} .

Without using calculating devices, compute the following correct to two decimals.

(i)

(ii)

(iii)

Q. Simplify
(i)

10 \sqrt{2} - 2 \sqrt{2} + 4 \sqrt{32}

(ii)

\sqrt{48} - 3 \sqrt{72} - \sqrt{27} + 5 \sqrt{18}

(iii)

\sqrt[3]{16} + 8 \sqrt[3]{54} - \sqrt[3]{128}

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The value of √48+√32√27+√18 is

The correct option is A 43 √48+√32√27+√18=√16×3+√16×2√9×3+√9×2 =4√3+4√23√3+3√2=4(√3+√2)3(√3+√2)=43

The value of $\frac{\sqrt{48} + \sqrt{32}}{\sqrt{27} + \sqrt{18}}$ is