The product of 4-6 and 3-24 is -

The correct option is B 144 3√(24) = 6√(6) .Then, 4√(6)× 3√(24)=4√(6)× 6 ×√(6) #160; =24 ×√(6 × 6) #160; #160; =24 × 6 #160; ...

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Byju's Answer

Standard IX

Mathematics

Operations on Rational and Irrational Numbers

The product o...

Question

The product of $4 \sqrt{6}$ and $3 \sqrt{24}$ is :

124

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134

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144

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154

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Solution

The correct option is B $144$
$3 \sqrt{24} = 6 \sqrt{6}$ .

Then, $4 \sqrt{6} \times 3 \sqrt{24} = 4 \sqrt{6} \times 6 \times \sqrt{6}$

$= 24 \times \sqrt{6 \times 6}$ $= 24 \times 6$ $= 144$ .

Therefore, option $C$ is correct.

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Q. Product of

4 p, - 6 q^{3} and - 6 p q

is .

Two triangles have an equal area of $24 c m^{2}$ and stand on the same base of 6 cm. If the distance PQ (on base) between their altitudes is equal to thrice the length of one of the altitude. Then the area of the quadrilateral formed by the altitudes and the base PQ is equal to:

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The product of 4√6 and 3√24 is :

The correct option is B 1443√24=6√6.Then, 4√6×3√24=4√6×6×√6 =24×√6×6 =24×6 =144.Therefore, option C is correct.

The product of $4 \sqrt{6}$ and $3 \sqrt{24}$ is :

The correct option is B $144$
$3 \sqrt{24} = 6 \sqrt{6}$ .

Then, $4 \sqrt{6} \times 3 \sqrt{24} = 4 \sqrt{6} \times 6 \times \sqrt{6}$

$= 24 \times \sqrt{6 \times 6}$ $= 24 \times 6$ $= 144$ .

Therefore, option $C$ is correct.