9.1 Square root expressions  (Page 2/2)

100

121

35

Use a calculator to obtain a decimal approximation for the two square roots of 35. Round to two decimal places.

$\sqrt{x+5}$

$\sqrt{y-8}$

$\sqrt{3a+2}$

$\sqrt{5m-6}$

$\sqrt{y^8}$

$\sqrt{16a^4}$

$\sqrt{49x^4{y}^6}$

$-\sqrt{100x^8{y}^{12}{z}^2}$

$-\sqrt{36{\left(a+5\right)}^4}$

$\sqrt{225w^4{\left(z^2-1\right)}^2}$

$\sqrt{0.25y^6{z}^{14}}$

$\sqrt{x^{2n}},$ where $n$ is a natural number.

$\sqrt{x^{4n}},$ where $n$ is a natural number.

How many square roots does every positive real number have?

The symbol $\sqrt{\begin{array}{cc}& \end{array}}$ represents which square root of a number?

The symbol – $\sqrt{\begin{array}{cc}& \end{array}}$ represents which square root of a number?

64

81

25

121

144

225

10,000

$\frac{1}{16}$

$\frac{1}{49}$

$\frac{25}{36}$

$\frac{121}{225}$

$0.04$

$0.16$

$1.21$

$\sqrt{49}$

$\sqrt{64}$

$-\sqrt{36}$

$-\sqrt{100}$

$-\sqrt{169}$

$-\sqrt{\frac{36}{81}}$

$-\sqrt{\frac{121}{169}}$

$\sqrt{-225}$

$\sqrt{-36}$

$-\sqrt{-1}$

$-\sqrt{-5}$

$-\left(-\sqrt{9}\right)$

$-\left(-\sqrt{0.81}\right)$

$\sqrt{y+10}$

$\sqrt{x+4}$

$\sqrt{a-16}$

$\sqrt{h-11}$

$\sqrt{2k-1}$

$\sqrt{7x+8}$

$\sqrt{-2x-8}$

$\sqrt{-5y+15}$

$\sqrt{m^6}$

$\sqrt{k^{10}}$

$\sqrt{a^8}$

$\sqrt{h^{16}}$

$\sqrt{x^4{y}^{10}}$

$\sqrt{a^6{b}^{20}}$

$\sqrt{a^4{b}^6}$

$\sqrt{x^8{y}^{14}}$

$\sqrt{81a^2{b}^2}$

$\sqrt{49x^6{y}^4}$

$\sqrt{100m^8{n}^2}$

$\sqrt{225p^{14}{r}^{16}}$

$\sqrt{36x^{22}{y}^{44}}$

$\sqrt{169w^4{z}^6{\left(m-1\right)}^2}$

$\sqrt{25x^{12}{\left(y-1\right)}^4}$

$\sqrt{64a^{10}{\left(a+4\right)}^{14}}$

$\sqrt{9m^6{n}^4{\left(m+n\right)}^{18}}$

$\sqrt{25m^{26}{n}^{42}{r}^{66}{s}^{84}}$

$\sqrt{{\left(f-2\right)}^2{\left(g+6\right)}^4}$

$\sqrt{{\left(2c-3\right)}^6+{\left(5c+1\right)}^2}$

$-\sqrt{64r^4{s}^{22}}$

$-\sqrt{121a^6{\left(a-4\right)}^8}$

$-\left[-\sqrt{{\left(w+6\right)}^2}\right]$

$-\left[-\sqrt{4a^2{b}^2{\left(c^2+8\right)}^2}\right]$

$\sqrt{1.21h^4{k}^4}$

$\sqrt{2.25m^6{p}^6}$

$-\sqrt{\frac{169a^2{b}^4{c}^6}{196x^4{y}^6{z}^8}}$

$-\left[\sqrt{\frac{81y^4{\left(z-1\right)}^2}{225x^8{z}^4{w}^6}}\right]$

( [link] ) Find the quotient. $\frac{x^2-1}{4x^2-1}÷\frac{x-1}{2x+1}.$

( [link] ) Find the sum. $\frac{1}{x+1}+\frac{3}{x+1}+\frac{2}{x^2-1}.$

( [link] ) Solve the equation, if possible: $\frac{1}{x-2}=\frac{3}{x^2-x-2}-\frac{3}{x+1}.$

( [link] ) Perform the division: $\frac{15x^3-5x^2+10x}{5x}.$

( [link] ) Perform the division: $\frac{x^3-5x^2+13x-21}{x-3}.$