Property 1
Radicals
\(a\in\mathbb R^+,n\in\mathbb N\quad(n>1)\)
\(a^n=b\Rightarrow\sqrt[n]{b}=a\)
\(\sqrt a=\sqrt[2]{a}\)
A radical is an expression of the form \(\sqrt[n]{b}\) which denotes the principal nᵗʰ root of a where the positive integer n is the index or order of the radical and the number a is the radicand.
1.
\(\sqrt{16}=?\)
2.
\(\sqrt{25}+\sqrt9-\sqrt{100}=?\)
3.
\(\sqrt{121}-\sqrt{144}+\sqrt{64}=?\)
4.
\(\samefrac{\sqrt9+\sqrt{16}}{\sqrt4}=?\)
5.
\(\samefrac{\sqrt{81}+\sqrt4}{\sqrt{49}}=?\)
6.
\(\sqrt9\cdot\sqrt{100}-\sqrt{196}=?\)
7.
\(\sqrt{225}\cdot\sqrt4-\sqrt{16}\cdot\sqrt{36}=?\)
8.
\(\sqrt{400}\cdot\sqrt{16}-\sqrt{49}=?\)
9.
\(\sqrt{25}+\sqrt{289}+\sqrt{256}=?\)
10.
\(\sqrt{100}-(\sqrt{25}-\sqrt{256})=?\)
11.
\(\sqrt{225}-[\sqrt{16}-(-\sqrt{169})]=?\)
12.
\(\samefrac{\sqrt{64}+\sqrt9\cdot\sqrt{100}}{\sqrt{225}}=?\)
13.
\(\samefrac{\sqrt9\cdot\sqrt{16}-\sqrt{225}}{\sqrt{\samefrac{1}{9}}}=?\)
14.
\(\samefrac{\sqrt{81}-\sqrt{289}}{\sqrt{256}}=?\)
15.
\(\samefrac{\sqrt{100}-\sqrt{64}}{\sqrt{900}}=?\)