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[tex]
\Rightarrow \quad \sqrt{47089} + \sqrt{24336}
\\ \\
\Rightarrow \quad \sqrt{ 7 \times 7 \times 31 \times 31 } + \sqrt{ 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 13 \times 13 }
\\ \\
\Rightarrow \quad \sqrt{ 7^{2} \times 31^{2} } + \sqrt{ 2^{2} \times 2^{2} \times 3^{2} \times 13^{2} }
\\ \\
\Rightarrow \quad 7 \times 31 + 2 \times 2 \times 3 \times 13 \\ \\
\Rightarrow \quad 217 + 12 \times 13
\\ \\
\Rightarrow \quad 217 + 156
\\ \\
\Rightarrow \quad \bold{ 373 }
[/tex]
Answer:
⇒ 47089 + 24336
⇒ 7×7×31×3 + 2×2×2×2×3×3×13×13
⇒ 72×312 + 22 ×22 ×32 ×13 2
⇒7×31+2×2×3×13
⇒217+12×13
⇒217+156
⇒373