Evaluate
7
Factor
7
Quiz
Arithmetic
5 problems similar to:
\sqrt{ 20 } \times \sqrt{ 5 } - \frac{ \sqrt{ 63 } }{ \sqrt{ 7 } }
Share
Copied to clipboard
\sqrt{5}\sqrt{4}\sqrt{5}-\frac{\sqrt{63}}{\sqrt{7}}
Factor 20=5\times 4. Rewrite the square root of the product \sqrt{5\times 4} as the product of square roots \sqrt{5}\sqrt{4}.
5\sqrt{4}-\frac{\sqrt{63}}{\sqrt{7}}
Multiply \sqrt{5} and \sqrt{5} to get 5.
5\times 2-\frac{\sqrt{63}}{\sqrt{7}}
Calculate the square root of 4 and get 2.
10-\frac{\sqrt{63}}{\sqrt{7}}
Multiply 5 and 2 to get 10.
10-\sqrt{9}
Rewrite the division of square roots \frac{\sqrt{63}}{\sqrt{7}} as the square root of the division \sqrt{\frac{63}{7}} and perform the division.
10-3
Calculate the square root of 9 and get 3.
7
Subtract 3 from 10 to get 7.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}