Simplify the Radical Expression square root of 32h+4 square root of 98h-3 square root of 50h

Rewrite <math><mstyle displaystyle="true"><mn>32</mn><mi>h</mi></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mo>(</mo><msup><mrow><mn>2</mn></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup><mo>⋅</mo><mrow><mo>(</mo><mn>2</mn><mi>h</mi><mo>)</mo></mrow></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>16</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>32</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>16</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>4</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>2</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Add parentheses.

Pull terms out from under the radical.

Raise <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

The absolute value is the distance between a number and zero. The distance between <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> is <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>98</mn><mi>h</mi></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>7</mn></mrow><mrow><mn>2</mn></mrow></msup><mo>⋅</mo><mrow><mo>(</mo><mn>2</mn><mi>h</mi><mo>)</mo></mrow></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>49</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>98</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>49</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>7</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Add parentheses.

Pull terms out from under the radical.

The absolute value is the distance between a number and zero. The distance between <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>7</mn></mstyle></math> is <math><mstyle displaystyle="true"><mn>7</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mn>7</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>50</mn><mi>h</mi></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>5</mn></mrow><mrow><mn>2</mn></mrow></msup><mo>⋅</mo><mrow><mo>(</mo><mn>2</mn><mi>h</mi><mo>)</mo></mrow></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>25</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>50</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>25</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>5</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Add parentheses.

Pull terms out from under the radical.

The absolute value is the distance between a number and zero. The distance between <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> is <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>3</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>4</mn><msqrt><mn>2</mn><mi>h</mi></msqrt></mstyle></math> and <math><mstyle displaystyle="true"><mn>28</mn><msqrt><mn>2</mn><mi>h</mi></msqrt></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mn>15</mn><msqrt><mn>2</mn><mi>h</mi></msqrt></mstyle></math> from <math><mstyle displaystyle="true"><mn>32</mn><msqrt><mn>2</mn><mi>h</mi></msqrt></mstyle></math> .

Do you know how to Simplify the Radical Expression square root of 32h+4 square root of 98h-3 square root of 50h? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.