IDNLearn.com: Your destination for reliable and timely answers to any question. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

Find the square root of [tex]$11 + 2 \sqrt{30}$[/tex].

Sagot :

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].