Evaluate- -1-16 - 1-9

The correct option is B 5/12 √(1/16 + 1/9) =√((1×9)+(1×16)/9×16) = √(25/144) = 5/12 ...

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Byju's Answer

Standard X

Mathematics

Quadratic Formula

Evaluate: √...

Question

Evaluate: $\sqrt{\frac{1}{16} + \frac{1}{9}}$

\frac{7}{12}

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\frac{25}{144}

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\frac{5}{12}

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None of these

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Solution

The correct option is B $\frac{5}{12}$
$\sqrt{\frac{1}{16} + \frac{1}{9}} = \sqrt{\frac{(1 \times 9) + (1 \times 16)}{9 \times 16}} = \sqrt{\frac{25}{144}} = \frac{5}{12}$

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Similar questions

$(- 7) + (- 9) + 12 + (- 16) = ?$
$(a) - 20$
$(b) 20$
$(c) - 12$
$(d)$ none of these

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. Simplify :

\frac{1}{2} - \frac{5}{7} + \frac{3}{9} \div \frac{21}{16} \times \frac{8}{12}

Q. Simplify the following using properties.

\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{9}{7} + \frac{- 5}{16}

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Evaluate: √116+19

The correct option is B 512√116+19=√(1×9)+(1×16)9×16=√25144=512

Evaluate: $\sqrt{\frac{1}{16} + \frac{1}{9}}$

The correct option is B $\frac{5}{12}$
$\sqrt{\frac{1}{16} + \frac{1}{9}} = \sqrt{\frac{(1 \times 9) + (1 \times 16)}{9 \times 16}} = \sqrt{\frac{25}{144}} = \frac{5}{12}$