Simplify without using tables \(\frac{2\sqrt{14} \times 3\sqrt{21}}{7\sqrt{24} \times 2\sqrt{98}}\)

a

\(\frac{3\sqrt{14}}{4}\)

b

\(\frac{3\sqrt{2}}{4}\)

c

\(\frac{3\sqrt{14}}{28}\)

d

\(\frac{3\sqrt{2}}{28}\)

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Explanation

Correct Option
d

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Discussions (8)

Chiozoadiro
4 years ago

The definition of the answer looks like magic.
It's needs to be cross-checked 😑

frankiz
10 years ago

Notw,{}=squareroot.

.:.(2{14}*3{21})/(7{24}*2{98})

simplifying,we would arrive at- (2*{7}*{2}*3*{7}*{3})/(7*{3}*{2}*{4}*2*{7}*{7}*{2})

.:. Those with similar roots would cancel out,leaving out 3/(7*{4}*{2}) = 3/7*2*{2} =3/14{2}. Rationalizing,we get (3/14{2})*({2}/{2}) .:.giving us 3{2}/14*2 =3{2}/28.

i don't understand

Sammykenny1
1 year ago

i got a different thing 😃
my school I got (3√2)/28 as my answer ..
if possible shoot a video on this and explain clearly.

malloy82
3 months ago

the number one option is not visible

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