こんにちは。相城です。今回は平方根の展開を利用した計算です。
それではどうぞ。
問題 次の計算をしなさい。
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
![](https://www.mathtext.info/blog/wordpress/wp-content/uploads/2020/02/1yohaku.png)
答え
(1) ![Rendered by QuickLaTeX.com \sqrt6+3\sqrt3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-40ad9ff32d17409f4ac25ad5c3075230_l3.png)
(2)![Rendered by QuickLaTeX.com -6+7\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-f980a7fde1b3a97d746ab43dee59d683_l3.png)
(3)![Rendered by QuickLaTeX.com \sqrt6-2\sqrt{21}+\sqrt{10}-2\sqrt{35}](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-15e5742166a41ebad2d3d73d0eff7cdd_l3.png)
(4)![Rendered by QuickLaTeX.com \sqrt{15}-\sqrt3-3\sqrt5+3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-a078d10fd649e6b1a0775d41564cad72_l3.png)
(5)![Rendered by QuickLaTeX.com 38+20\sqrt3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-ff604f06495c92bbf854d0c88ab54f2f_l3.png)
(6)![Rendered by QuickLaTeX.com -31+5\sqrt5](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-5ef31fdbb5d62648121060c65be11682_l3.png)
(7)![Rendered by QuickLaTeX.com -10-6\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-201315c311b21ea8fccf0f049db730da_l3.png)
(8)![Rendered by QuickLaTeX.com 41-12\sqrt5](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-0718d9ab8be1e12b36f501525d8de41c_l3.png)
(9)![Rendered by QuickLaTeX.com 8-2\sqrt{15}](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-a17ccb0565362eec635de37679a54958_l3.png)
(10)![Rendered by QuickLaTeX.com 2](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-de029460c387473d1c9c10e3ccc17e6b_l3.png)
(11)![Rendered by QuickLaTeX.com -3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-22428a0e81721bd44d34c630bb3aed62_l3.png)
(12)![Rendered by QuickLaTeX.com 11-4\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-6d345c749b3baeaed51f23a533380493_l3.png)
(13)![Rendered by QuickLaTeX.com -7+4\sqrt2](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-28bd4a727bfd63254de19ebeea4a3c63_l3.png)
(14)![Rendered by QuickLaTeX.com -17+3\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-0025f5afc614e2ae6e7440844ba9a893_l3.png)
![Rendered by QuickLaTeX.com \sqrt6+3\sqrt3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-40ad9ff32d17409f4ac25ad5c3075230_l3.png)
(2)
![Rendered by QuickLaTeX.com -6+7\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-f980a7fde1b3a97d746ab43dee59d683_l3.png)
(3)
![Rendered by QuickLaTeX.com \sqrt6-2\sqrt{21}+\sqrt{10}-2\sqrt{35}](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-15e5742166a41ebad2d3d73d0eff7cdd_l3.png)
(4)
![Rendered by QuickLaTeX.com \sqrt{15}-\sqrt3-3\sqrt5+3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-a078d10fd649e6b1a0775d41564cad72_l3.png)
(5)
![Rendered by QuickLaTeX.com 38+20\sqrt3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-ff604f06495c92bbf854d0c88ab54f2f_l3.png)
(6)
![Rendered by QuickLaTeX.com -31+5\sqrt5](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-5ef31fdbb5d62648121060c65be11682_l3.png)
(7)
![Rendered by QuickLaTeX.com -10-6\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-201315c311b21ea8fccf0f049db730da_l3.png)
(8)
![Rendered by QuickLaTeX.com 41-12\sqrt5](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-0718d9ab8be1e12b36f501525d8de41c_l3.png)
(9)
![Rendered by QuickLaTeX.com 8-2\sqrt{15}](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-a17ccb0565362eec635de37679a54958_l3.png)
(10)
![Rendered by QuickLaTeX.com 2](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-de029460c387473d1c9c10e3ccc17e6b_l3.png)
(11)
![Rendered by QuickLaTeX.com -3](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-22428a0e81721bd44d34c630bb3aed62_l3.png)
(12)
![Rendered by QuickLaTeX.com 11-4\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-6d345c749b3baeaed51f23a533380493_l3.png)
(13)
![Rendered by QuickLaTeX.com -7+4\sqrt2](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-28bd4a727bfd63254de19ebeea4a3c63_l3.png)
(14)
![Rendered by QuickLaTeX.com -17+3\sqrt6](https://mathtext.info/blog/wordpress/wp-content/ql-cache/quicklatex.com-0025f5afc614e2ae6e7440844ba9a893_l3.png)