Question

find the square root of 11+2√30​

Answer 1

Answer:

Answer is 71.5 approx

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Explanation:

Use formula (a+b)^1/2

Answer 2

Answer:

$\sqrt{6} +\sqrt{5}$

Step-by-step explanation:

Back from algebra class we know that $(a+b)^{2}$ = $a^{2} + 2ab + b^{2}$.

$11 + 2\sqrt{30}$

= $6 + 5 + 2$×$\sqrt{6 . 5}$

= ${\sqrt({6})^{2} }$ + $2$×$\sqrt{6 . 5}$ + $\sqrt({5}) ^{2}$

= ($\sqrt{6} +\sqrt{5}$$)^{2}$

∴ The square root of $11 + 2\sqrt{30}$ = $\sqrt{6} +\sqrt{5}$

Hope this helped....