Simplify the following:4 sqrt{12} times 7 sqr | vedclass

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Question

(A) To simplify the expression $4 \sqrt{12} 	imes 7 \sqrt{6}$,we first factorize the numbers inside the square roots:$4 \sqrt{12} = 4 \sqrt{4 	imes

Vedclass · Accepted Answer

$168 \sqrt{2}$

Vedclass · Answer

(A) To simplify the expression $4 \sqrt{12} 	imes 7 \sqrt{6}$,we first factorize the numbers inside the square roots:$4 \sqrt{12} = 4 \sqrt{4 	imes 3} = 4 	imes 2 \sqrt{3} = 8 \sqrt{3}$$7 \sqrt{6} = 7 \sqrt{2 	imes 3}$Now,multiply the two expressions:$8 \sqrt{3} 	imes 7 \sqrt{2 	imes 3} = (8 	imes 7) 	imes (\sqrt{3} 	imes \sqrt{3}) 	imes \sqrt{2}$$= 56 	imes 3 	imes \sqrt{2}$$= 168 \sqrt{2}$

Simplify the following:
$4 \sqrt{12} \times 7 \sqrt{6}$

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Simplify the following:$4 \sqrt{12} \times 7 \sqrt{6}$