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If 108+243=25.98\sqrt{108} + \sqrt{243} = 25.98108​+243​=25.98. find the value of 147+192\sqrt{147} + \sqrt{192}147​+192​.​
Question

If 108+243=25.98\sqrt{108} + \sqrt{243} = 25.98. find the value of 147+192\sqrt{147} + \sqrt{192}.​

A.

25.98

B.

26.89

C.

27.712

D.

24.248

Correct option is A

Given: 

108+243=25.98 63+93=25.98 153=25.98 3=1.732\sqrt{108} + \sqrt{243} = 25.98 \\\ \\6\sqrt{3} + 9\sqrt{3} = 25.98\\\ \\15\sqrt{3} = 25.98\\\ \\\sqrt{3} = 1.732

Solution:

147+192\sqrt{147} + \sqrt{192}.

7×7×3+64×3\sqrt{7\times 7 \times 3 } + \sqrt{64 \times 3} 

73+837\sqrt{3} + 8\sqrt{3} 

15315 \sqrt{3} 

15×1.73215 \times 1.732 

= 25.98

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