To find the square root of [tex]\( 11 + 2 \sqrt{30} \)[/tex], follow these steps:
1. Identify the given expression:
[tex]\[ 11 + 2 \sqrt{30} \][/tex]
2. Calculate the value inside the square root:
Evaluate [tex]\( 11 + 2 \sqrt{30} \)[/tex]:
[tex]\[ 11 + 2 \sqrt{30} \approx 21.954451150103324 \][/tex]
3. Find the square root of the obtained value:
Taking the square root of [tex]\( 21.954451150103324 \)[/tex]:
[tex]\[ \sqrt{21.954451150103324} \approx 4.685557720282968 \][/tex]
Thus, the square root of [tex]\( 11 + 2 \sqrt{30} \)[/tex] is approximately [tex]\( 4.685557720282968 \)[/tex].
