-51-84-0-81- 320-40 -2

The correct option is E 8 √(51.84)÷√(0.81)×320=40×(?)^2 7.2 ÷ 0.9 × 320 = 40 × (?)^2 8 × 320 = 40 × (?)^2 8 × 5 × 320 = 40 × (?)^2 40 × 64 = 40 × (?)^2 Compa ...

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Byju's Answer

Standard VIII

Mathematics

Finding Square Root through Prime Factorisation

√51.84÷√0.81×...

Question

$\sqrt{51.84} \div \sqrt{0.81} \times 320 = 40 \times (?)^{2}$

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-8

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-7

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None of these

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Solution

The correct option is C
-8

$\sqrt{51.84} \div \sqrt{0.81} \times 320 = 40 \times (?)^{2}$

$7.2 \div 0.9 \times 320 = 40 \times (?)^{2}$

$8 \times 320 = 40 \times (?)^{2}$

$8 \times 5 \times 320 = 40 \times (?)^{2}$

$40 \times 64 = 40 \times (?)^{2}$

$C o m p a r i n g w i t h t h e g i v e n o p t i o n s, (- 8)^{2} = (?)^{2}$

$? = - 8$

Suggest Corrections

√51.84÷√0.81×320=40×(?)2

The correct option is C -8 √51.84÷√0.81×320=40×(?)2 7.2÷0.9×320=40×(?)2 8×320=40×(?)2 8×5×320=40×(?)2 40×64=40×(?)2 Comparing with the given options,(−8)2=(?)2 ?=−8

$\sqrt{51.84} \div \sqrt{0.81} \times 320 = 40 \times (?)^{2}$