Question

What is the square root of 17 + 12 root 2

Answer 1

Step-by-step explanation:

Now, $17+12\sqrt{2}$

[ Express 17 as a sum of the two numbers 9 and 8. ]

$=9+8+12\sqrt{2}$

[ Rearrange the terms. ]

$=9+12\sqrt{2}+8$

[ Express 9 and 8 as square terms. ]

$=3^{2}+2\times 3\times 2\sqrt{2}+(2\sqrt{2})^{2}$

[ Use algebraic identity: $(a+b)^{2}=a^{2}+2ab+b^{2}$ ]

$=(3+2\sqrt{2})^{2}$

Then, $\sqrt{17+12\sqrt{2}}$

$=\sqrt{(3+2\sqrt{2})^{2}}$

$=3+2\sqrt{2}$

Answer:

Square root of $(17+12\sqrt{2})$ is $(3+2\sqrt{2})$.

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Answer 2

3+2√2 is the answer

hope it help you.