Addition of expression 5-3-2-7 and 2-3-5 is

Finding the value of the expression:5√(3) 2√(7)+2√(3)+√(5)=7√(3) 2√(7)+√(5)[∵ a√(b)+c√(b)=(a+c)√(b)]Final answer: Hence, option C is correct. ...

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Byju's Answer

Standard VIII

Mathematics

Deducing Formula for (x+y)^2

Addition of e...

Question

Addition of expression $5 \sqrt{3} - 2 \sqrt{7}$ and $2 \sqrt{3} + \sqrt{5}$ is

$5 \sqrt{3} - 2 \sqrt{7} + 2 \sqrt{3} + \sqrt{5}$

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$10 \sqrt{6} - 2 \sqrt{7} + \sqrt{5}$

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$7 \sqrt{3} - 2 \sqrt{7} + \sqrt{5}$

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None of these

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Solution

The correct option is C
$7 \sqrt{3} - 2 \sqrt{7} + \sqrt{5}$

Finding the value of the expression:
$5 \sqrt{3} - 2 \sqrt{7} + 2 \sqrt{3} + \sqrt{5} = 7 \sqrt{3} - 2 \sqrt{7} + \sqrt{5} [∵ a \sqrt{b} + c \sqrt{b} = (a + c) \sqrt{b}]$
Final answer: Hence, option C is correct.

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Similar questions

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

Q. Simplify the following expressions:

(i)

(4 + \sqrt{7}) (3 + \sqrt{2})

(ii)

(3 + \sqrt{3}) (5 - \sqrt{2})

(iii)

(\sqrt{5} - 2) (\sqrt{3} - \sqrt{5})

Addition of expression $5 \sqrt{3} - 2 \sqrt{7}$ and $2 \sqrt{3} + \sqrt{5}$ is

Q. Simplified form of the expression

\frac{7 \sqrt{3}}{\sqrt{10} + \sqrt{3}} - \frac{2 \sqrt{5}}{\sqrt{6} + \sqrt{5}} - \frac{3 \sqrt{2}}{\sqrt{15} + 3 \sqrt{2}}

is?

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Addition of expression 53-27 and 23+5 is

The correct option is C 73-27+5Finding the value of the expression:53-27+23+5=73-27+5∵ab+cb=a+cbFinal answer: Hence, option C is correct.

Addition of expression $5 \sqrt{3} - 2 \sqrt{7}$ and $2 \sqrt{3} + \sqrt{5}$ is

The correct option is C
$7 \sqrt{3} - 2 \sqrt{7} + \sqrt{5}$

Finding the value of the expression:
$5 \sqrt{3} - 2 \sqrt{7} + 2 \sqrt{3} + \sqrt{5} = 7 \sqrt{3} - 2 \sqrt{7} + \sqrt{5} [∵ a \sqrt{b} + c \sqrt{b} = (a + c) \sqrt{b}]$
Final answer: Hence, option C is correct.