Answer
Verified
381.9k+ views
Hint: To solve this question first we will convert the given word statement into mathematical expression. Then we will solve the multiplication of square root of 5 and square root of 2 to get the desired answer.
Complete step by step solution:
We have been given a word phrase square root of 5 times the square root of 2.
We have to find the value by converting the statement into mathematical form and simplifying the obtained expression.
We know that an algebraic expression contains variables, constants and mathematical operators. By solving the mathematical operations we will get the solution of algebraic expressions.
Now, let us first convert the given statement square root of 5 times the square root of 2 into mathematical form. Then we will get
$\Rightarrow \sqrt{5}\sqrt{2}$
Now, we have to multiply both to find the value. Then we will get
$\Rightarrow \sqrt{10}$
The number 10 is not a perfect square.
Hence we get the square root of 5 times the square root of 2 as $\sqrt{10}$.
Note: Students may misinterpret the statement square root of 5 times the square root of 2 and convert as $5\sqrt{2}$, which gives the incorrect solution. So the key point to solving such types of questions is right conversion of statements into mathematical expression. Read carefully the given expression and then solve further.
Complete step by step solution:
We have been given a word phrase square root of 5 times the square root of 2.
We have to find the value by converting the statement into mathematical form and simplifying the obtained expression.
We know that an algebraic expression contains variables, constants and mathematical operators. By solving the mathematical operations we will get the solution of algebraic expressions.
Now, let us first convert the given statement square root of 5 times the square root of 2 into mathematical form. Then we will get
$\Rightarrow \sqrt{5}\sqrt{2}$
Now, we have to multiply both to find the value. Then we will get
$\Rightarrow \sqrt{10}$
The number 10 is not a perfect square.
Hence we get the square root of 5 times the square root of 2 as $\sqrt{10}$.
Note: Students may misinterpret the statement square root of 5 times the square root of 2 and convert as $5\sqrt{2}$, which gives the incorrect solution. So the key point to solving such types of questions is right conversion of statements into mathematical expression. Read carefully the given expression and then solve further.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
10 examples of evaporation in daily life with explanations
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Why is there a time difference of about 5 hours between class 10 social science CBSE