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Question 1 of 4
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A radicand is the number under the square root symbol.
Terms with the same radicand are like terms. We can evaluate the coefficients of like terms.
Evaluate the coefficients of like terms (same radicand).
|
= |
√75+4√12 |
Find two multiples of 75 and 12 each where one is a perfect square. |
|
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√25×√3+4√4×√3 |
Simplify |
|
= |
5×√3+4×2×√3 |
|
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5×√3+8×√3 |
|
= |
5√3+8√3 |
|
= |
(5+8)√3 |
Evaluate coefficients |
|
= |
13√3 |
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Question 2 of 4
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A radicand is the number under the square root symbol.
Terms with the same radicand are like terms. We can evaluate the coefficients of like terms.
Evaluate the coefficients of like terms (same radicand).
|
= |
8√28-2×√63 |
Find two multiples of 28 and for 63 where one is a perfect square. |
|
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8√4×√7-2×√9×√7 |
Simplify |
|
= |
8×2×√7-2×3×√7 |
4 and 9 are perfect squares |
|
= |
16√7-6√7 |
|
= |
16-6√7 |
Evaluate coefficients |
|
= |
10√7 |
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Question 3 of 4
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A radicand is the number under the square root symbol.
Terms with the same radicand are like terms. We can evaluate the coefficients of like terms.
Evaluate the coefficients of like terms (same radicand).
|
= |
3√5+√45-√20 |
Find two multiples of 45 and 20 each where one is a perfect square. |
|
= |
3√5+√9×√5-√4×√5 |
Simplify |
|
= |
3√5+3√5-2√5 |
9 and 4 are perfect squares |
|
= |
3√5+3√5-2√5 |
|
= |
3+3-2√5 |
Evaluate coefficients |
|
= |
4√5 |
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Question 4 of 4
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A radicand is the number under the square root symbol.
Terms with the same radicand are like terms. We can evaluate the coefficients of like terms.
Evaluate the coefficients of like terms (same radicand).
|
= |
6√7-√63+√28 |
Find two multiples of 18 and for 32 where one is a perfect square. |
|
= |
6√7-√9×√7+√4×√7 |
Simplify |
|
= |
6√7-3√7+2√7 |
9 and 4 are perfect squares |
|
= |
6√7-3√7+2√7 |
|
= |
6-3+2√7 |
Evaluate coefficients |
|
= |
5√7 |
