Chapter 10: Q11 PT. (page 661)

Solve the given equation and check the solution.
$\sqrt{10 x} = 20$

Short Answer

Expert verified

The solution of $\sqrt{10 x} = 20$ is 40.

Step by step solution

Step 1. State the concept of ‘square of a square root’.

When the square root of a term is squared, then the resulting value will be the term which is inside the root. That is,

${(\sqrt{a})}^{2} = a$

Step 2. Find the value of ‘x’.

Solve the equation $\sqrt{10 x} = 20$ to get the value of ‘x’.

$\sqrt{10 x} = 20$

Squaring both the sides

${(\sqrt{10 x})}^{2} = {(20)}^{2} 10 x = 400 [Using {(\sqrt{a})}^{2} = a] \frac{10 x}{10} = \frac{400}{10} x = 40$

Step 3. Verify the solution.

Substitute $x = 40$ in the left hand side (L.H.S) of the equation $\sqrt{10 x} = 20$ to verify whether the value satisfies the equation or not.

$L.H.S = \sqrt{10 x} = \sqrt{10 (40)} = \sqrt{400} = 20 = R.H.S [R.H.S=Right hand side]$

L.H.S=R.H.S

Thus, $x = 40$ satisfies the given equation.

Hence verified.

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Solve the given equation and check the solution.
$\sqrt{10 x} = 20$

Short Answer

Step by step solution

Step 1. State the concept of ‘square of a square root’.

Step 2. Find the value of ‘x’.

Step 3. Verify the solution.

One App. One Place for Learning.

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Solve the given equation and check the solution.10x=20

Short Answer

Step by step solution

Step 1. State the concept of ‘square of a square root’.

Step 2. Find the value of ‘x’.

Step 3. Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Solve the given equation and check the solution.
$\sqrt{10 x} = 20$