Question

What is the square root of 0.5?

Answer 1

Hint: A square root of a number is a value that, when multiplied by itself, gives the number.
The symbol is √ which always means the positive square root. using the value of $\sqrt{2}$ i.e 1.414
The number whose square root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign.

Complete step-by-step solution:
write the number as a fraction:
 $\sqrt{0.5}=\sqrt{{\displaystyle \frac{5}{10}}}$
 $\sqrt{{\displaystyle \frac{1}{2}}}$
 Rationalizing the denominator:
Multiply fraction by ${\displaystyle \frac{2}{2}}$
$\sqrt{{\displaystyle \frac{1}{2}}\times {\displaystyle \frac{2}{2}}}$
$\sqrt{{\displaystyle \frac{2}{4}}}$
 Now the denominator is a perfect square. It can be written as ${\displaystyle \frac{\sqrt{2}}{\sqrt{4}}}$
 Simplifying the denominator
${\displaystyle \frac{\sqrt{2}}{2}}$
Substituting the value of $\sqrt{2}=1.414$ and dividing by 2 to get the value
${\displaystyle \frac{1.414}{2}}$
$0.707$
Square root of 0.5 is 0.707.

Note: Cube root of number is a value which when multiplied by itself thrice or three times produces the original value. to find the cubic root of perfect cubes, we use the prime factorisation method. The cube root symbol is denoted by ‘3√’