Question
The square root of $$\left( {7 + 3\sqrt 5 } \right)$$ $$\left( {7 - 3\sqrt 5 } \right)$$ is
Answer: Option B
$$\eqalign{
& \sqrt {\left( {7 + 3\sqrt 5 } \right)\left( {7 - 3\sqrt 5 } \right)} \cr
& = \sqrt {{{\left( 7 \right)}^2} - {{\left( {3\sqrt 5 } \right)}^2}} \cr
& = \sqrt {49 - 45} \cr
& = \sqrt 4 \cr
& = 2 \cr} $$
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$$\eqalign{
& \sqrt {\left( {7 + 3\sqrt 5 } \right)\left( {7 - 3\sqrt 5 } \right)} \cr
& = \sqrt {{{\left( 7 \right)}^2} - {{\left( {3\sqrt 5 } \right)}^2}} \cr
& = \sqrt {49 - 45} \cr
& = \sqrt 4 \cr
& = 2 \cr} $$
Was this answer helpful ?
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