Can You Simplify This By Combining Like Radicals, √98-√50-√72?
Simplify by combining like radicals. All variables represent positive real numbers. See Objective 4 and Example 6. Square Root [98] - Square Root [50] - Square Root [72] Factor out all perfect squares
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√98-√50-√72
Make factors of each value of square root.
√98 = √49 x √2 = 7√2
√50 = √25 x √2 = 5√2
√72 = √36 x √2 = 6√2
Therefore the equation will become this
√98-√50-√72
=7√2 - 5√2 - 6√2.
Taking √2 as common you will get
=√2 (7 - 5 - 6)
=√2( -4)
=-4√2 >>answer
Make factors of each value of square root.
√98 = √49 x √2 = 7√2
√50 = √25 x √2 = 5√2
√72 = √36 x √2 = 6√2
Therefore the equation will become this
√98-√50-√72
=7√2 - 5√2 - 6√2.
Taking √2 as common you will get
=√2 (7 - 5 - 6)
=√2( -4)
=-4√2 >>answer
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