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数学演習/中学校3年生/平方根

平方根(1)

1. ${\displaystyle {\sqrt {36-11}}}$
2. ${\displaystyle {\sqrt {121}}}$
3. ${\displaystyle {\sqrt {\frac {169}{49}}}}$
4. ${\displaystyle {\sqrt {x^{4}}}}$
5. ${\displaystyle {\sqrt {\frac {x^{2}}{y^{2}}}}}$
6. ${\displaystyle {\sqrt {\frac {4x^{4}}{225y^{2}z^{8}}}}}$
7. ${\displaystyle {\sqrt {36x^{2}+96xy+64y^{2}}}}$

平方根(2)

1. ${\displaystyle {\sqrt {12}}}$
2. ${\displaystyle {\sqrt {75}}}$
3. ${\displaystyle {\sqrt {396}}}$
4. ${\displaystyle {\sqrt {(x+y)^{3}}}}$
5. ${\displaystyle 6{\sqrt {396}}+{\sqrt {1331}}}$

平方根の計算(1)

1. ${\displaystyle {\sqrt {2}}+2{\sqrt {2}}}$
2. ${\displaystyle {\sqrt {5}}-5{\sqrt {5}}}$
3. ${\displaystyle 7+2{\sqrt {2}}+3{\sqrt {3}}+6{\sqrt {12}}}$
4. ${\displaystyle {\sqrt {3}}\times 3{\sqrt {7}}}$
5. ${\displaystyle {\sqrt {6}}\times 2{\sqrt {3}}}$
6. ${\displaystyle ({\sqrt {2}}+2)(1+{\sqrt {3}})}$
7. ${\displaystyle ({\sqrt {5}}-2)^{2}}$
8. ${\displaystyle ({\sqrt {7}}+{\sqrt {3}})({\sqrt {7}}-{\sqrt {3}})}$
9. ${\displaystyle (6+{\sqrt {55}})(6-{\sqrt {55}})}$

平方根の計算(2)

1. ${\displaystyle {\frac {2}{\sqrt {3}}}}$
2. ${\displaystyle {\frac {\sqrt {6}}{\sqrt {5}}}}$
3. ${\displaystyle {\frac {3+{\sqrt {2}}}{\sqrt {3}}}}$
4. ${\displaystyle {\frac {{\sqrt {2}}+1}{{\sqrt {2}}-1}}}$