Question

Find the square root of √45 - √40​

Answer 1

Answer:

$({ \sqrt{45} - \sqrt{40} ) }^{2} \\ using \: identity \: \\ ( x + y)^{2} = {x}^{2} + {y}^{2} - 2xy \\ we \: get \\ { \sqrt{45} }^{2} + { \sqrt{40} }^{2} - 2 \sqrt{45} \sqrt{40} \\ = 45 + 40 - 2 \sqrt{1800} = 85 - 2 \times 30 \sqrt{2} \\ = 85 - 60 \sqrt{2}$

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