If a-15- b-12 and c-9 find the value of - 2a-2b 2c-a -2 a-b 2b-c

The correct option is D 3a=15,b=12 and c=9 #160;then √((2a+2b)(2c+a)/2(a b)(2b+c)) After puting the value ⇒√((2× 15+2× 12)(2× 9+15)/2(15 12)(2× 12+9) ...

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Byju's Answer

Standard IX

Mathematics

Algebraic Identities

If a=15, b=12...

Question

If a=15, b=12 and c=9 find the value of
$\sqrt{\frac{(2 a + 2 b) (2 c + a)}{2 (a - b) (2 b + c)}}$

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Solution

The correct option is D 3
a=15,b=12 and c=9 then
$\sqrt{\frac{(2 a + 2 b) (2 c + a)}{2 (a - b) (2 b + c)}}$
After puting the value
$\Rightarrow \sqrt{\frac{(2 \times 15 + 2 \times 12) (2 \times 9 + 15)}{2 (15 - 12) (2 \times 12 + 9)}}$
$\Rightarrow \sqrt{\frac{(30 + 24) (18 + 15)}{2 (3) (33)}}$
$\Rightarrow \sqrt{\frac{(54) (33)}{(6) (33)}}$
$\Rightarrow \sqrt{\frac{1782}{198}}$
$\Rightarrow \sqrt{9} = 3$

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If a=15, b=12 and c=9 find the value of √(2a+2b)(2c+a)2(a−b)(2b+c)

The correct option is D 3a=15,b=12 and c=9 then√(2a+2b)(2c+a)2(a−b)(2b+c)After puting the value⇒√(2×15+2×12)(2×9+15)2(15−12)(2×12+9)⇒√(30+24)(18+15)2(3)(33)⇒√(54)(33)(6)(33)⇒√1782198⇒√9=3

If a=15, b=12 and c=9 find the value of
$\sqrt{\frac{(2 a + 2 b) (2 c + a)}{2 (a - b) (2 b + c)}}$