GoldRush18
without the use of tables or a calculator, simplify



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GoldRush18
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\[\sqrt{28 + \sqrt{343}}\]
in the form ksqrt7 where k is an integer

jim_thompson5910
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Is it supposed to be \[\sqrt{28} + \sqrt{343}\] instead?

ashishthomas7
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\[\sqrt{7*4+\sqrt{7^{3}}}\]

GoldRush18
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@jim_thompson5910 yes i couldnt get it like that

jim_thompson5910
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alright thank you

jim_thompson5910
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\[\Large \sqrt{28} + \sqrt{343}\]
\[\Large \sqrt{4*7} + \sqrt{49*7}\]
\[\Large \sqrt{4}*\sqrt{7} + \sqrt{49}*\sqrt{7}\]
\[\Large 2*\sqrt{7} + 7*\sqrt{7}\]
\[\Large (2 + 7)*\sqrt{7}\]
\[\Large 9\sqrt{7}\]
So the answer is \[\Large 9\sqrt{7}\]

ashishthomas7
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\[9\sqrt{7}\]

GoldRush18
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thank you

jim_thompson5910
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you're welcome

ashishthomas7
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you're welcome